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.

1) 3
2) 4
3) 14
4) 24

Answer 1

Shawn and Dorian each paid $24 for the rental.

Step-by-step explanation:

To find out how much Shawn and Dorian each paid for the rental, we need to set up equations for their rental costs and then solve for x, the number of hours.

For Shawn, the equation is y = 10 + 3.5x.

For Dorian, the equation is y = 6x.

Since Shawn and Dorian each rented bikes for the same number of hours and paid the same price, we can set the two equations equal to each other and solve for x:

10 + 3.5x = 6x.

Subtracting 3.5x from both sides gives: 10 = 2.5x.

Dividing both sides by 2.5 gives: x = 4.

So, they each rented bikes for 4 hours. To find out how much they paid, we can substitute x = 4 into either equation. Using Shawn's equation, we have:

y = 10 + 3.5(4) = 10 + 14 = 24.

Therefore, Shawn and Dorian each paid $24 for the rental.