Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?

Answers

Answer 1

Using the linear function, it is found that the correct option is given by:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

C(0) is the flat fee.a is the cost per unit of time.

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622


Related Questions

Solve 2x^2 - x ≥ -5. Show your work.

Answers

Answer:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Step-by-step explanation:

Rewrite into standard form:

[tex]2x^{2} -x+5 \geq 0[/tex]

Complete the square:

[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]

Subtract [tex]\frac{39}{8}[/tex] from both sides:

[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]

Divide both sides by 2:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]

Simplify:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Find the value of x.
X=
137°
(4x-17)

Answers

Answer:

x = 15°

Step-by-step explanation:

These angles form a linear

4x - 17 + 137° = 180°

4x - 17 = 43°

4x = 60°

x = 15°

A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %

Answers

Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

How to work with percentages?

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

Read morer about Percentages at; https://brainly.com/question/843074

64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0

Answers

Answer:

| x | = − 5

Step-by-step explanation:

Let's solve your equation step-by-step.

| x | = − 5

Solve Absolute Value.

| x | = − 5

No solutions. (Absolute value cannot be less than 0.)

Answer:

No solutions.

I hope this helps :)

Answer:

| x | = -5

Step-by-step explanation:

Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!

Solve the equation for x.
2(2) + x = 4

Answers

[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]

Answer:

x = 0

Solve solution:

Question:

2(2) + x = 4

Multiply:

2 x 2 + x 4

Cancel equal terms:

4 + x = 4

Answer: x = 0

The difference of 2 times a number and 3/4 is 1/2​

Answers

2x-3/4=1/2

The answer is X=5/8

PLEASE HELP !! Find the value of x in the triangle shown below. x=?

Answers

Answer:

x+44+29=180

x+73=180

x=180-73

x=107

Answer: x+44+29=180

x+73=180

x=180-73

x=107

Step-by-step explanation:

3 is what percent of 50

Answers

Answer:

6%

Step-by-step explanation:

3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%

I believe it’s 6%. But I’m not sure

Here is a system of equations that represent the constraints in the situation. x + y = 4.25 16.90x + 4y = 36.35 Find the solutions to the system of equations. Explain or show your reasoning

Answers

Answer:

Step-by-step explanation:

fff

If you need 10 cups of flour for every 6 cups of sugar, how much sugar do you need if you have only one cup of flour?

Answers

Answer:

2/3

Step-by-step explanation:

1/(3/4)=4/3(4/3)2.5

10 cups/=3.333

$8.28
______
0.3 m

or

$13.00
______
0.4 m

What are the unit prices of each and which one is a better buy?​

Answers

Answer:

1st

Step-by-step explanation:

1) 1m cost = $8.28/0.3=$27.60/m

2) 1m cost = $ 13.00/0.4=$32.5/m

Function: y=x^2−4x−12
Factored Form: y=(x+_) (x-_)
x -Intercepts: (_,_) and (_,_) Type answers smallest to largest left to right.
Axis of Symmetry: x=
Vertex:
Domain:
Range: y≥

Answers

Answer:

Below in bold.

Step-by-step explanation:

y=x^2−4x−12

Factored form: y = (x - 6)(x + 2)

x-intercepts: (-2, 0) and (6, 0).

Axis of symmetry is found by converting to vertex form:

y = x^2−4x−12

y = (x - 2)^2 - 4 - 12

y = (x - 2)^2 - 16.

So axis of symmetry is x = 2.

Vertex is at (2, -16)

Domain is all Real Numbers.

Range is y ≥ -16.

Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.

Write an equation to find the original amount of oats, x, in the recipe.

Answers

Answer:

y = 94.5 cups

Step-by-step explanation:

Let's say:

y = oatsx = chocolate chips = 212

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

[tex]GeniusUser[/tex]

Solve the equation for x: 2^3 square root 3x+2 = ^3 square root 4x-9
A) x=-5/4
B) x= -13/2
C) x=25/28
D) x=-7/20

Answers

The value of x = -5/2

To solve this question we must understand the concept of indices.

What are Indices?

Indices in mathematics show the power to which an expression or variable is raised.

Here, the correct format of the equation given in the question as follows:

[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]

[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]

Multiply the power of both sides by 3

(6x + 4) =(4x -9)

6x - 4x = -9 + 4      

2x = -5

x = -5/2

Learn more about indices here:

https://brainly.com/question/10339517

Use the fraction model to multiply: two multiplied by four sixths. Leave your answer as an improper fraction.

two fraction models, each model is partitioned into six equal parts, with four parts shaded in each model
Question 1 options:

six eighths

six twelfths

eight sixths

eight twelfths

Answers

Answer:

2 b is you answer

Step-by-step explanation:

Need help ASAP! Directions in picture ;)

Answers

Answer:

Simplifying

X + 59 + 84 + X + 51 = 180

Reorder the terms:

59 + 84 + 51 + X + X = 180

Combine like terms: 59 + 84 = 143

143 + 51 + X + X = 180

Combine like terms: 143 + 51 = 194

194 + X + X = 180

Combine like terms: X + X = 2X

194 + 2X = 180

Solving

194 + 2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-194' to each side of the equation.

194 + -194 + 2X = 180 + -194

Combine like terms: 194 + -194 = 0

0 + 2X = 180 + -194

2X = 180 + -194

Combine like terms: 180 + -194 = -14

2X = -14

Divide each side by '2'.

X = -7

Simplifying

X = -7

which one is a function

Answers

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer should be A......

Question in picture!!

Answers

Step-by-step explanation:

A. 4+(x-y)

B. 6+xy

C.( x.x.).y

hope it helps.

stay safe healthy and happy.

Answer:

A. 4+(X•Y)

B. 6×xy

C. (X•X)y

Write the fraction as a decimal
Round to the nearest hundredth
8
11
[?] is i think 0.73 or 0.73/1. or 73/100

Answers

Answer: It is 0.73 my friend. Very good work.

Step-by-step explanation:

Which translation rule describes the translation that is 2 units to the left and 8 units down?

(x, y) + (x + 2, y - 8)

(x,y) → (x - 2, y - 8)

(x,y) → (x - 2, y + 8)

(x,y) → (x + 2, y + 8)

Answers

Answer: (x,y) → (x - 2, y - 8)

Step-by-step explanation:

Two units to the left would mean decreasing value on the x-axis, making it -2.

Eight units down would, again, mean decreasing value on the y-axis, making it -8.

Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.

I hope this helps :)

I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol

is h(x) = 6 a linear function and why

Answers

Answer:

yes, absolutely. specifically it's a horizontal line at 6.

True or False: Collection on account and sale of services for cash are considered cash inflows, while payment on account and payment of salaries are considered cash outflows from operating activities.

Answers

Answer:

true

Step-by-step explanation:

make this is helpful for you

what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )

Answers

Answer:

0

Step-by-step explanation:

........

Answer:

g=-10

Step-by-step explanation:

-g+2(3+g) = -4

-g+6+2g=-4

g=-4-6

g=-10

If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =

Answers

Answer: 3/25

Step-by-step explanation:

Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
HURRY!!!! I'LL GIVE YOU BRAINEIST!!

Answers

Answer:

B save your time its the same answer

Step-by-step explanation:

Good Luck!

1.25 as a fraction is what

Answers

Answer:

5/4

Step-by-step explanation:

please help asap!!!!!

Answers

Answer:

d is the question

Step-by-step explanation:

In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?

Answers

Answer:   s - r

==================================================

Explanation:

We'll need these trig ratios

sine = opposite/hypotenusecosine = adjacent/hypotenuse

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

----------

From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

----------

So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.

Answers

Where’s the graph ?
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