Question

shawn and dorian rented bikes from two different rental shops. the prices in dollars, y, of renting bikes from the two different shops for x hours is shown.
shop shawn used ( y = 10 + 3.5x )
shop dorian used ( y = 6x )
if shawn and dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental? round to the nearest dollar if necessary
( \bigcirc ) 3
( \bigcirc ) 4
( \bigcirc ) 14
( \bigcirc ) 24

Explanation:

Step1: Set equations equal (same cost)

$10 + 3.5x = 6x$

Step2: Solve for x (hours rented)

$10 = 6x - 3.5x$
$10 = 2.5x$
$x = \frac{10}{2.5} = 4$

Step3: Calculate total cost y

Substitute $x=4$ into $y=6x$:
$y = 6 \times 4 = 24$

Answer:

24