Question

near equations and inequalities
shawn and doran 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.
24
4
3
14

Explanation:

Step1: Set equations equal

Since they paid the same price, set \(10 + 3.5x = 6x\).

Step2: Solve for x

Subtract \(3.5x\) from both sides: \(10 = 6x - 3.5x\) → \(10 = 2.5x\). Then divide by \(2.5\): \(x=\frac{10}{2.5}=4\) hours.

Step3: Find total price

Use either equation, e.g., \(y = 6x\). Substitute \(x = 4\): \(y = 6\times4 = 24\) dollars.

Answer:

24