Question

Lacey bought tickets to use for rides at the local carnival. Each ride requires the same number of tickets. The expression 60 minus 5 x models the number of tickets Lacey has left after going on x rides. According to the model, Lacey bought Blank space 1 empty tickets and each ride needs Blank space 2 empty tickets.

Answer 1

(a) Initial ticket = 60

(b) 5 tickets

Explanation:

Given

`Expression = 60 - 5x`

Solving (a): Initial Tickets

A linear function is represented as:

`y = c + mx`

Where c is the initial value

In this case, c represents the initial tickets.

By comparing

`y = c + mx` to
`Expression = 60 - 5x`

`c= 60`

Solving (b): Tickets needed on each ride

This represents the rate

In
`y = c + mx`, m represents the rate

By comparing

`y = c + mx` to
`Expression = 60 - 5x`

`m = -5`

It is negative because 5 tickets is subtracted for each ride.

Hence, the number of ticket per ride is 5