Question

Maya is going to an amusement park. The price of admission into the park is $10, and once she is inside the park, she will have to pay $2 for every ride she rides on. How much money would Maya have to pay in total if she goes on 15 rides? How much would she have to pay if she goes on rr rides?

cost for r rides
cost for 15 rides

Answer 1

The cost of r rides = 2r + 10

The cost of 15 rides = $40

Explanation:

The form of the linear equation is y = m x + b, where

• m is the rate of change

• b is the initial amount

Assume that the cost of r rides is c

∵ The number of the ride is r

∴ x = r

∵ The cost of r rides is c

∴ y = c

∵ The price of admission into the park is $10 ⇒ initial amount

∴ b = 10

∵ She will have to pay $2 for every ride ⇒ rate of change

∴ m = 2

→ Substitute them in the form of the equation above

∴ c = 2r + 10

∴ The cost of r rides = 2r + 10

∵ She goes on 15 rides

∴ r = 15

→ Substitute it in the form of the equation

∵ c = 2(15) + 10

∴ c = 30 + 10

∴ c = 40

∴ The cost of 15 rides = $40