The cost to rent a car from Hertz is $15 for the day plus $0.50 per mile that you drive that day. The cost to rent a car from Enterprise is $25 for the day plus $0.25 per mile. How many miles would you have to drive in one day for a car to cost the same amount from both companies?

40 miles.

Step-by-step explanation:

Given that the cost of renting a car in Hertz is $ 15 per day plus $ 0.50 for each mile traveled, while in Enterprise the cost is $ 25 per day plus $ 0.25 per mile traveled, to determine how many miles should be traveled to incur the same expenditure in both companies the following calculation must be made:

25 - 15 = 10

0.50 - 025 = 0.25

10 / 0.25 = 40

Therefore, to incur the same cost, 40 miles must be traveled, which is verified with the following calculation:

25 + 0.25 x 40 = 35

15 + 0.50 x 40 = 35

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c