Car A costs $25.95 to rent and $0.35/km to drive. Car B costs $19.95 to rent and $0.55/km to drive.

Let y represent the total cost to rent a car and m represent the number of kilometers a person drives.

If you are solving the equation, how many km would you have to drive for the total cost to be the same?

0.35m + 25.95= 0.55m + 19.95

Question 2 options:

6 kilometers for them to be the same


12 kilometers for them to be the same


30 kilometers for them to be the same


60 kilometers for them to be the same

Answers

Answer 1

Answer:

You can set this up like a linear equation

y=mx+b.

1. Identify your slope (x):

$0.09 per mile.

2. Identify the y-intercept or flat base rate:

$39.

3. Form the equation:

y=0.09x+39

5. Plug in values:

$0.09 (150mi) + $39 = $52.50 $0.09 (339mi) + 39 = $69.51

Explanation:

Answer 2

A total of 30 kilometers you have to drive for the total cost to be the same and this can be determined by forming the linear equations in two variables.

Given :

Car A costs $25.95 to rent and $0.35/km to drive. Car B costs $19.95 to rent and $0.55/km to drive.

Now, let y represent the total cost to rent a car and m represent the number of kilometers a person drives.

The linear equation that represents Car A costs $25.95 to rent and $0.35/km to drive is given by:

y = 25.95 + 0.35m   --- (1)

The linear equation that represents Car B costs $19.95 to rent and $0.55/km to drive is given by:

y = 19.95 + 0.55m   ---- (2)

Now, equate both the equations in order to determine the value of 'm'.

25.95 + 0.35m = 19.95 + 0.55m

Simplify the above equation.

6 = 0.20m

m = 30 km

Therefore, the correct option is C) 30 kilometers for them to be the same.

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