Rosetta owns a wedding photography business. For each wedding, she charges $100 plus $50 per hour of work. A linear equation that expresses the total amount of money Rosetta earns per wedding is y= 50x+100. What are the independent and dependent variables? What is the y-intercept and the slope?
a. The independent variable (z) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
b. Rosetta charges a one-time fee of $100 (this is when 2-0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
c. The independent variable (x) is the amount in dollars, Rosetta earns for a wedding. The dependent variable (y) is the amount of time Rosetta shoots photos.
d. Rosetta charges a one-time fee of $100 (this is when : 0), so they intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
e. The independent variable(x) is the amount of time Rosetta shoots photos.
Answers
The options are not clear enough, so i have attached it.
Answer:
A: The independent variable (x) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
Rosetta charges a one-time fee of $100 (this is when x = 0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50
Step-by-step explanation:
We are given the equation of total amount of money Rosetta earns per wedding as;
y = 50x + 100
Where x is number of hours.
Now, the independent variable will be x because it doesn't depend on any other variable whereas the dependent variable will be y because it depends on how many hours which is x.
Now, the y-intercept occurs when x = 0.
Thus;
y = 50(0) + 100
y = 100
Thus,she charges a one time fee of $100, so the y-intercept = $100 at x = 0.
From slope intercept equation which is;
y = mx + c and comparing with y = 50x + 100, where m is the slope, we can see that m = 50.
Thus, since she earns $50 per hour, the slope is 50.
The correct option is Option A.
Related Questions
which value is a solution to the inequality 9 - y >12?
Answers
Answer:
(A) -6
Step-by-step explanation: hope this helps!
Answer:
answer is -3 did like 5 days ago
Jeremiah is also ordering comic books online. The equation y = 8x + 4 represents the total cost, y, including shipping for ordering x number of comic books. What is the cost of 20 comic books?
Answers
Answer:
[tex]y = 164[/tex]
Step-by-step explanation:
Given
[tex]y = 8x + 4[/tex]
Where
[tex]x = number\ of\ comic\ books[/tex]
[tex]y = total\ cost[/tex]
Required
Find y when x = 20
To do this, we simply substitute 20 for x in [tex]y = 8x + 4[/tex]
[tex]y = 8*20 + 4[/tex]
[tex]y = 160 + 4[/tex]
[tex]y = 164[/tex]
Hence, 20 comic books cost 164
In a dance contest in which 53,000 votes were cast, the winner received 3/5 of votes. How many votes did the winner not receive? (Incorrect solution: 3/5 x 53,000 = 3/5 x 53,000/1 = 3x53,000/ 5 x 1 = 31,800) ( explain error please and add correct work/solution and if you could share a strategy you used? Thanks!!)
Answers
Answer:
21,200
Step-by-step explanation:
Votes casted = 53000
Votes received = 3/5
Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5
Total votes not received by winner
= 53000 *2/5
= 10,600 * 2
= 21,200
The perimeter of a triangle is 51 cm. The longest side is twice the length of the
shortest side. The third side is 3 cm longer than the shortest side. How long is each
side? Write an equation that represents the problem and then solve it.
Answers
Answer:
one is 12cm another is 24 and remaining is 15 cm
The two lines graphed on the coordinate grid each represent an equation. Which ordered pair represents a solution?
Answers
Answer:
The ordered pair (-3, 3) represents the solution of two lines on the coordinate grid.
Thus, option B is true.
Step-by-step explanation:
As we know that the point of intersection of two lines is the solution of the lines.
Given the graph of the lines, we can see that the two lines intersect at the point (-3, 3).
i.e. at x= -3, y = 3
The point of intersection is (-3, 3)
Thus, the ordered pair (-3, 3) represents the solution of two lines on the coordinate grid.
Thus, option B is true.
Answer:
B
i'm sorry for wasting your time and these points but i don't think anyone is gonna answer the question since someone already did and its correct, i just answered it so the other person can get the Brainiest :) Have a nice day!
If x=1/2 and y=3/2, find the values of i) xy÷(x+y) ii) x+y ÷ x-y
Answers
Answer:
i) 3/8
ii) -2
Step-by-step explanation:
i) 1/2*3/2/(1/2+3/2)
3/4/2
3/4*1/2
3/8.
ii) 1/2+3/2 / 1/3-3/2
2/-1
-2.
Hope this helps :)
What is the equation of the line through (-6,-5) and (-4,-4) in slope-intercept form?
Answers
Answer:
y = 1/2x − 2
What is the place value of the 3 in the number 6,370,524,891?
Answers
ten crore is answer for India system
Step-by-step explanation:
hundred million is answer for international system
m+1=4m-32 solve for m.
Answers
M+1 = 4m -32
Add like terms
Minus 4m on both sides
And minus 1 on both sides
-3m =-33
Divide by -3
M =11
Two parallel lines are crossed by a transversal.
Horizontal and parallel lines s and r are cut by transversal t. At the intersection of lines s and t, the uppercase left angle is 115 degrees. At the intersection of lines r and t, the uppercase left angle is x degrees.
What is the value of x?
Answers
Answer:
Option D. is correct
explanation:
x = 115
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Apply the distributive property to factor out the greatest common factor. 90+27= equals
Answers
Answer:
1.
90+27
2.
90 = 9 x 10
3.
27 = 9 x 3
4.
So apply the distributive property would be:
90 + 27 = 9(10 + 3)
Step-by-step explanation:
Answer:
The greatest common factor of 90 and 27 is 9.
Using the distributive property , you could write: 9(10 + 3)
PLZ HELP I WILL MARK BRAINLEST, THANKS!
Answers
Answer:
3, and b
Step-by-step explanation:
1. x =3
Because you have 3 little squares for one x
2. x= -12
b) 15+6=21
Answer:
1. A.3
2. B.
Step-by-step explanation:
B 1/2=.5
Step 1: 0.5*12=6
Step 2: 15+6=21
A.
Because the rectangle = 3 squares so just add them up and you get your answer.
I think of a number multiply by 3 and add 4 I get 22
Answers
Answer:
your thinking of 6
Step-by-step explanation:
subtract 4 from 22
you get 18
divide 18 by 3
you get 6
please help!! i need this badly please!!
Answers
Answer:
The balance is much more precise than it is accurate. All answers are very close to eachother, making it precise, but the weight is off by about 5 grams every time, making it not very accurate.
Step-by-step explanation:
Ms. Van Tress has 134 students. She sees 38 students before lunch and 96 students after lunch.
What percentage of her students does she see before lunch? After lunch? (Round your answers to
the nearest whole number percent)
Answers
Answer:
[tex]\%Percent = 28\%[/tex] ---- Before Lunch
[tex]\%Percent = 72\%[/tex] --- After Lunch
Step-by-step explanation:
Given
[tex]Total = 134[/tex]
[tex]Before\ Lunch = 38[/tex]
[tex]After\ Lunch = 96[/tex]
Required
Determine the percentage of students seen in both cases.
This percentage is calculated by dividing the number of students seen by the total number of students. Then multiplied by 100%
i.e
[tex]\%Percent = \frac{Seen}{Total} * 100\%[/tex]
- Before Lunch;
[tex]\%Percent = \frac{Before\ Lunch}{Total} * 100\%[/tex]
[tex]\%Percent = \frac{38}{134} * 100\%[/tex]
[tex]\%Percent = \frac{3800\%}{134}[/tex]
[tex]\%Percent = 28\%[/tex] --- approximated
- After Lunch;
[tex]\%Percent = \frac{After\ Lunch}{Total} * 100\%[/tex]
[tex]\%Percent = \frac{96}{134} * 100\%[/tex]
[tex]\%Percent = \frac{9600\%}{134}[/tex]
[tex]\%Percent = 72\%[/tex] --- approximated
1) You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to
purchase a uniform. You paid a total of $108 after 6 months. Write an equation that glves
the total cost (in dollars) as a function of the length of time you have been taking classes
(in months). Find the total cost after 9 months.
Answers
Answer:
$162
Step-by-step explanation:
you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.
The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
What is unit rate?A unit rate means a rate for one of something.
Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.
We have unit rate = $15 per month
Since, one month cost is $15 therefore, for 6 months = 15×6 = $90
Therefore, cost of uniform = $108 - $90 = $18
Let you are taking classes for x months, the function of the length of time you have been taking classes,
f(x) = 15x
For 9 month cost =
f(9) = 15×9 = 135
Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135
Learn more about unit rates, click;
https://brainly.com/question/29781084
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A store sells new video games for $60 each. Used video games sell for $12 each. Jacob is buying 3 video games and x used video games which equation can be used to find y, the total price Jacob must pay in dollars?
Answers
Step-by-step explanation
this is because of the Commutative Property.
Identify the y-intercept for y=0.5x−3.
(0,_)
Answers
Answer:
the y-intercept is -3 because the equation is in y=mx+b where m is the slope and b is the y-intercept
Step-by-step explanation:
The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C represent the total cost of printing and x represent the number of copies. Write in symbolic form an equation that will relate C and x. Organize the data into a table of values. Begin with 500 copies, increase by increments of 500, and end with 2500 copies.
Answer by selected letter:
A.
B.
C.
D.
Answers
mark me brainliest if the answer is correct, thank you in advance :)
Lisa drank 4/5
liter of water Monday before going jogging. She drank 2/3
liter of water after her jog. How much water did Lisa drink altogether?
Answers
Answer:
12/15 + 10/15= 1 whole and 7/15
Step-by-step explanation:
What is m% of n? Can you please write an explanation on how that is the answer?
Answers
Answer:
mn/100
Step-by-step explanation:
m% of n
[tex] = \frac{m}{100} \times n \\ \\ = \frac{mn}{100} [/tex]
19 more than 9 times a number is less than or equal to 163. Which of the following represents the solution set of this problem?
Answers
Answer:
x ≤ 6
Step-by-step explanation:
Let the unknown number be x;
9 times the number is expressed as 9x
9 more than 9 times a number is expressed as 9x + 9
9 more than 9 times a number is less than or equal to 163 is then expressed as;
9x + 9≤ 63
≤ is the less than or equal to sign
Find the solution;
9x ≤ 63 - 9
9x≤54
x ≤ 54/9
x≤ 6
Hence the required solution is x ≤ 6
Brainliest for right answer
Answers
Answer:
Yes
Step-by-step explanation:
If you notice, X goes up 1/4 or 0.25 every time and Y goes up 3 everytime.
So they are proportional. H
Hope this helps plz hit the crown :D
Answer:
No it doesn't
Step-by-step explanation:
The proportional relationship in x is not the same as y for there to be a relationship it could be like 2, 4, 6, 8 etc
STEAM: The boiling pint of water is affected by changes in elevation. Use the expression of -2A/1000 where a represents the altitude in feet to find the number of degrees Farenhite at which the boiling point of water changes at altitude 5,000 feet
A) -10°F B) 20°F C) 10°F D) -20°F
Answers
Answer:
A) -10°F
Step-by-step explanation:
Given that:
Boiling point of water gets affected when there is a change in the elevation.
Expression to represent the temperature i.e. boiling point w.r.to altitude [tex]A[/tex] is given by the equation:
Temperature in [tex]^\circ F[/tex] = [tex]\frac{-2A}{1000}[/tex]
Given that, the altitude, [tex]A[/tex] = 5,000 feet
To find:
The number of degrees Farenhite at which the boiling point of water will change.
Solution:
Here, we are given the expression:
Temperature in [tex]^\circ F[/tex] = [tex]\frac{-2A}{1000}[/tex]
And value of altitude, [tex]A[/tex] = 5,000 feet
Let us put the value of [tex]A[/tex] in the equation and let us find the value of temperature in [tex]^\circ F[/tex].
Temperature in [tex]^\circ F[/tex] =
[tex]\frac{-2\times 5000}{1000}\\\Rightarrow -2\times 5\\\Rightarrow \bold{-10^\circ F}[/tex]
Therefore, the answer is:
A) -10°F
Given: P is a point on the perpendicular bisector, I of MN.
Prove: PM = PN
Answers
Answer:
Step-by-step explanation:
I can't make specific statements about the proof because the midpoint is missing.
Givens
There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.
MN is bisected by the point on MN where the perpendicular meets MN
The Perpendicular Bisector is is common to both triangles.
Therefore the two triangles are congruent by SAS
PM = PN Parts contained in Congruent triangles are congruent.
Question 1 options: Line XZ bisects Angle WXY. If the measure of Angle WXZ = 60˚, what must be the measure of Angle YXZ?
Answers
Answer:
Step-by-step explanation:
73.8 thank me later
please help!! which triangle is similar to ABC?
A. Triangle A
B. Triangle B
C. Neither
D. Both
Answers
Answer:
triangle A because the measurements would be the same. If you add 30 + 112, you get 150. Triangles add to 180, so the missing angle of the first one is 30.
this means triangle A has the same measurements as ABC
Find the value of x. 30 POINTS! *URGENT*
Answers
Answer:
[tex] x = 7[/tex]
Step-by-step explanation:
Value of the exterior angle is equal to the addition of the opposite interior angles in a triangle
[tex]19 + 20 = 6x - 3 \\ 39 = 6x - 3 \\ 39 + 3 = 6x \\4 2 = 6x \\ \frac{42}{6} = \frac{6x}{6} \\ x = 7[/tex]
Find the slope of each line using tables . try using the slope formula
Answers
Answer:
2
Step-by-step explanation:
If 9 is less than 3 times a certain number is 15 find the number. Please answer!!!!
Answers
Answer:
8 is the number
Step-by-step explanation:
3x8= 24
24-9 is 15