Wyatt is at the county fair. He plans to use his allowance money to pay for rides throughout the night.

Question

There is a linear relationship between the number of rides Wyatt goes on and the amount of money in his wallet.
Describe the rate of change for this relationship.
The amount of money in Wyatt's wallet
by
per ride he goes on.

Answer 1

The rate of change in this linear relationship represents how much money Wyatt spends on each ride. If we let \( y \) represent the amount of money in Wyatt's wallet and \( x \) represent the number of rides he goes on, the rate of change indicates that for every ride he goes on, his wallet decreases by a certain amount.

If we denote that amount as \( m \), then the rate of change can be described as:

"The amount of money in Wyatt's wallet decreases by \( m \) dollars per ride he goes on."

For example, if each ride costs $2, then the statement would be:

"The amount of money in Wyatt's wallet decreases by $2 per ride he goes on."

If you know the specific cost per ride, you can replace \( m \) with that value.