shawn and dorian rented bikes from two different rental shops. the prices in dollars, y, of renting bikes…

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? $

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? $

Answer

Explanation:

Step1: Set the two equations equal

Since the prices are equal, set $10 + 3.5x=6x$.

Step2: Solve for x

Subtract $3.5x$ from both sides: $10=6x - 3.5x$, so $10 = 2.5x$. Then divide both sides by $2.5$, we get $x=\frac{10}{2.5}=4$.

Step3: Find the rental - price

Substitute $x = 4$ into either equation. Using $y = 6x$, then $y=6\times4 = 24$.

Answer:

24