Answer:
300 miles
Step-by-step explanation:
The total cost function for Company A is C(x) = $60 + ($0.30/mi)x.
That for Company B is C2(x) = $30 + ($0.40/mi)x
To answer this question, we equate C(x) and C2(x):
$60 + ($0.30/mi)x = $30 + ($0.40/mi)x
Combining the terms, we get:
$60 = $30 + ($0.10/mi)x
Next we combine the constant terms, obtaining:
$30 = ($0.10/mi)x
This works out to x = 300 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is thus x = 300 miles
