Question

andres is deciding between two truck rental companies. company a charges an initial fee of $10 for the rental plus $2 per mile driven. company b charges an initial fee of $50 for the rental plus $1 per mile driven. let a represent the amount company a would charge if andres drives x miles, and let b represent the amount company b would charge if andres drives x miles. graph each function and determine the number miles driven, x, that would make the cost of each company the same. click twice to plot each line. click a line to delete it.

Explanation:

Step1: Define cost functions

$A = 10 + 2x$
$B = 50 + x$

Step2: Set costs equal to solve $x$

$10 + 2x = 50 + x$

Step3: Isolate $x$ to find value

$2x - x = 50 - 10$
$x = 40$

Step4: Verify with functions

For $x=40$:
$A = 10 + 2(40) = 90$
$B = 50 + 40 = 90$

Answer:

The cost of each company is the same when Andres drives 40 miles.