Question

You're choosing between two car rental companies. Company A charges an initial fee of $15 with $.25 per mile, while Company B only charges $.50 per mile. How many miles will it take for both companies to have the same service price? What's this price amount? Use the following systems of linear equations to solve by graphing. Company A: y = 0.25x + 15 Company B: y = 0.50x

Which is correct:

A. 55 miles; $25
B. 62 miles; $35
C. 60 miles; $30
D. 58 miles; $29

Answer 1

60 miles; $30

Explanation:

Given:

y = 0.25x + 15 ...........Eq1

y = 0.50x.............Eq2

Where, x = miles and y = Total cost of ranting

Find:

Total cost of ranting.

Computation:

From Eq1 and Eq2

0.25x + 15 = 0.50x

0.25x = 15

x = 15 / 0.25

x = 60 miles

From Eq 2

y = 0.50(60)

y = $30