the taxi fare in a city is as follows: for the first kilometre, the fare is rupee 8 and for the subsequent distance it is rupee 5 per km. taking the distance covered as x km and total fare as rupee y, write a linear equation for this information, and draw its graph

Answers

Answer 1

Answer:

The linear equation is Y=5x+8 where x>0

(you can input this into the Desmos graphing calculator to see the graph if you like!)

Step-by-step explanation:

To get the answer is fairly straight forward. If we know that distance covered is x in the equation and we know that a linear equation follows the template Y=mX+b where m is slope and b is the y-intercept. The first step is to fill in what we know. That would look as such Y=_X+_. We can then attempt to fill in the blanks for m and b. Because we know that it is 5 rupees extra per subsequent kilometre we can put 5 as the multiplier for x and there is our m or slope. We now have Y=5x+_. Now for b. B in this case is quite simple as is showing us where the start of the graph is. It is stated that there is a flat fee of 8 rupees, so the total can never be less than 8. Because b is simply where the line intercepts the y axis, and we want it to intercept at 8, we can just put a plus 8. And there you have it Y=5x+8. One important note is that the graph when drawn should be a ray extending from point (0,8). This is because we want to eliminate all of the areas on the plane that would make the fare negative, as we could not have a negative cab fare. This is as simple as plotting the line starting from point (0,8) on the y axis. Happy to help!  


Related Questions

Solve by completing the square x^2-10x-24=0

Answers

Step-by-step explanation:

=x²-10x-24

=x²-4x+6x-24

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

=(x-4)(x+6)

hope it helps.

PLEASE HELP ME
What is the value of this expression

Answers

3! i took the test and it was correct.

Answer:sorry

Step-by-step explanation:

The price of CD player was reduced from 80 to 52 what was the percent decrease in the price of the CD player

Answers

Answer:

The CD player's price decreased by 35%

DESPERATE WILL GIVE BRAINLIST AND THANKS
A right rectangular prism is shown.

What is the length of DH¯¯¯¯¯¯ to the nearest tenth of an inch?

Drag and drop the answer into the box.

Response area in.
1.82.43.55.4
A cuboid with points labeled from A to H. It has a height of 3 inches, a width of 1.5 inches, and a depth of 1 inch.

A.3.5
B.1.8
C.2.4
D.5.4

Answers

Answer:

Step-by-step explanation:

Sorry but there's know question.

Answer:

3.5 Inches

Step-by-step explanation:

How many degrees are inside of a convex hexagon? Remember to use (n-2)180.
180
360
720
1080

Answers

Answer:720
Very good at doing degrees in math!

what is -9 - (-4) =
what is 5 - -5

Answers

first one is -5
second one is 10

Answer:

1. it would be -5

2. It would be 10

Step-by-step explanation:

two negatives equal a positive.

-9+4= -5

5+5=10

i think i may have the answer but im not sure. if you answer thanks sm :)

Answers

Answer:

F

Step-by-step explanation:

3(5) would be the equivalent of 3*5, adding the + n.

2.248 divided by 5.62

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

44.128114

Step-by-step explanation:

Explain how to isolate the variable in the equation−2/3+7=15. solve for n

Answers

Answer:

  n = - 0.0833

Step-by-step explanation:

Given  expression

             [tex]\frac{-2}{3n } +7 = 15[/tex]

Cross multiplication , we get

           [tex]\frac{-2}{3n } = 15 -7[/tex]

          [tex]-2 = 8 X 3 n[/tex]

  ⇒   [tex]\frac{-2}{24} = n[/tex]

     n = - 0.0833

Kim’s family invested $3000 in a certificate of deposit (CD) for her when she was born. the interest rate is 8% and is compounded quarterly. what is the value of the CD in 5 years? what is the value of the CD if it is compounded annually for 15 years?

Answers

Answer:Kim’s family invested $3000

Step-by-step explanation:

The value of the CD will be an amount of $7487.01 if it is compounded annually for 15 years.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the CD in 5 years, you need to calculate the compound interest earned over 5 years.

The interest rate is 8% per year, so the interest rate per quarter is 8% / 4 = 2%.

The value of the CD at the end of each quarter can be calculated using the formula:

CD value at end of quarter = CD value x (1 + interest rate per quarter)

For example, at the end of the first quarter, the CD value would be:

CD value at end of first quarter = $3000 x (1 + 0.02) = $3060

You can repeat this process for each quarter to find the CD value at the end of 5 years.

After 5 years, there will have been 20 quarters (5 years x 4 quarters per year), so the CD value at the end of 5 years will be:

CD value at end of 5 years = $3000 x (1 + 0.02)²⁰ = $4393.84

To find the value of the CD if it is compounded annually for 15 years, you can use the same formula, but use the annual interest rate of 8% and the number of years of 15. The CD value at the end of 15 years will be:

CD value at end of 15 years = $3000 x (1 + 0.08)¹⁵ = $7487.01

To learn more about Compound interest click here:

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4.7x4.7x4.7 thats about it

Answers

Answer:

103.823

Step-by-step explanation:

It's just 4.7 to the third power, so I multiplied to get 103.823. :)

-3+4b=3(b-2)
what do I have to do slove both sides

Answers

Answer:

b=-3

Step-by-step explanation:

distribute 3(b-2) and you get 3b-6.

-3+4b=3b-6

add 3 on both sides.

4b=3b-3

-3b on both sides

b=-3

pls help due asap
Thanks in advance

Answers

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

Simon makes a model of a boat, using a scale of 1 : 30


If the model has a height of 40 cm, find the height of the real boat.


Give your answer in metres.

Answers

Answer: 12 metres

Step-by-step explanation:

The scale factor used for the model is 1 : 30.

This means that for any 1cm on the model, the real boat would be 30 cm.

If the height is 40 cm on the model, the real boat will be 30 times that:

= 40 * 30

= 1,200 cm

A metre is equivalent to 100cm.

1,200 cm would therefore be:

= 1,200/100

= 12 metres

Decide whether or not the relation is a function.

[(0,1), (-5,4), (0,2), (5,-4)]

Answers

Answer:

The relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Given the relation

{(0,1), (-5,4), (0,2), (5,-4)}

From the given relation is clear that the input value x = 0 is repeated twice.

In other words, the input value x = 0 is duplicated.

As we have already mentioned that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, the relation {(0,1), (-5,4), (0,2), (5,-4)} does NOT represent the relation.

The radius of a circular sign is 12 inches. Equal parts of the sign are painted red and yellow. How many square inches are painted in each color? Use 3.14 for Pi

Answers

Answer:

226.08 square inches

Answer:

Step-by-step explanation:

First we find Area

12^2* 3.14= 452.16

Then we know that half of the sign is painted red and the other half is painted yellow

452.16 / 2 = 226.08

226.08 square inches is painted yellow and 226.08 square inches is painted red


Substitution:
2x - y = 6
x + y = -3

Answers

Answer:

4 and for x+y is 2+1

Step-by-step explanation:

Me.Lee ordered some pizzas to be delivered. The bill for the pizza was m dollars. Mr. Lee tipped the pizza delivery driver 15% of the bill. Write an expression for the total amount of money Mr. Lee paid

Answers

The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)

Mrs. Wright makes cookies for the school bake sale. She uses the equation y = 0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale? The Answer choices are......
A.50 cookies per dollar
B. 5 cookies per dollar
C.$0.50 per cookie
D.$2 per cookie

Answers

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

If / is a midsegment of , find TS. A. 5 B. 7 C. 10 D. 14 Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is b.7

Step-by-step explanation:

Because i had the question and got it right

use the given functions to answer the question.
f(x)=x^2+2x-5
g(x)--3x^2-4x+1
what is f(x)-g(x)

Answers

f(x)=x^2+2x-5

g(x)--3x^2-4x+1

what is f(x)-g(x)

f(x)-g(x)= x^2 + 2x - 5 - 3x^2 - 4x + 1

Group like terms.

x^2 - 3x^2 + 2x - 4x - 5 + 1

Add/Subtract similar terms

2x^2 - 2x - 4

f(x) - g(x) = 2x^2 - 2x - 4

-2x²-2x-4

Is the answer. I know because I took the test.

what is the y intercept of the line given by the equation below
y=-10x+14​

Answers

Answer:

(0, 14) is the y-intercept

Answer:

14 is the y-intercept

Step-by-step explanation:

10 would be the slope so that leaves 14 which is the y intercept

The perimeter of the triangle below is 8x - 6.

Q

X + 1

P.

R

3x - 1

Which expression rrepresents the length of QR ?


helpppp

Answers

Answer:

QR = 4x - 6

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

The perimeter of a triangle is a measure of the length of the sides. It is the sum of all the length of the three sides of the triangle.

From the question:

Perimeter of triangle PQR = PQ + PR + QR

But PR = 3x - 1, PQ = x + 1, Perimeter of PQR = 8x - 6.

Therefore substituting gives:

8x - 6 = (x + 1) + (3x - 1) + QR

8x - 6 = (x + 3x + 1 - 1) + QR

8x - 6 = 4x + QR

QR = (8x - 6) - 4x

QR = 4x - 6

There is more than one answer!

Answers

Answer:

I think it's B and D

Step-by-step explanation:

In which quadrant does 694 lie?

Answers

Answer: C. quadrant l

Step-by-step explanation:

Angle 694° lies Quadrant IV which is correct option (D)

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values

What is the quadrant?

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

For Quadrant  I : the value of x and y both are positive ( +,+ )

For Quadrant  II :  the value of x is negative and y is positive ( -,+ )

For Quadrant  III : the value of x is negative and y is negative ( -, - )

For Quadrant  IV : the value of x is positive and y is negative ( +, - )

Locate the quadrant of the angle.

If the angle is greater than 360°,

Subtract 360° until the angle is less than 360°.

⇒ 694 - 360

⇒ 334°

Hence, angle 694° lies Quadrant IV

Learn more about the quadrant of graph here:

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How you Can find the area of a composite figure?​

Answers

Answer:

Here are the steps to find the area of a composite figure.

1. Split the composite figure into simpler shapes.

2. Find the area of each of the simpler shapes.

3. Add the area of all the simpler shapes together.

4. You'll have the area of the composite figure.

Let me know if this helps!

Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.

Answers

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

what is 8u+17=17 what is u = to

Answers

Answer:

[tex]8u+ 17 = 17 \\ 8u = 17 - 17 \\ 8u = 0\\ u = \frac{0}{8} \\ \boxed{u = 0}[/tex]

u=0 is the right answer.

you would try to isolate u first. to do this, subtract 17 from each side. you should have 8u=0. then, divide 8 from each side. you should have u=0.

Please help can some one explain to no how to get the answer

Answers

Answer:

2(-2)+1

Step-by-step explanation:

All you have to do is replace x with-1

Please help me. You will be marked brainliest.

Answers

Answer:

What do you need help with?

Step-by-step explanation:

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