Question

Aqatown charges $4.50 admission plus $0.75 for each ride. Wet World costs $2.50 admission plus $1.25 per ride. Write an equation for the cost of going to Aqua Town and an equation for the cost of going to Wet World. How many rides would you have to ride for both water parks to cost the same amount, and what would the cost be? Write a system of equations to solve for x and y.

Answer 1

The equation for the cost of going to Aqua Town is Cost = $4.50 + $0.75R, and the equation for the cost of going to Wet World is Cost = $2.50 + $1.25R. There is no number of rides that would make both water parks cost the same amount.

Step-by-step explanation:

To write the equations for the cost of going to Aqua Town and Wet World, we need to consider the admission fee and the cost per ride for each water park.

For Aqua Town: Cost = $4.50 + $0.75R, where R is the number of rides.

For Wet World: Cost = $2.50 + $1.25R, where R is the number of rides.

To find the number of rides at which both water parks cost the same, we set the two equations equal to each other and solve for R:

$4.50 + $0.75R = $2.50 + $1.25R

By moving like terms to the same side, we get $1.25R - $0.75R = $2.50 - $4.50

$0.50R = -$2.00

Dividing both sides by $0.50, we find that R = -4. Thus, there is no number of rides that would make both water parks cost the same amount.