Question

You start with $240 in your account. You spend $30 each week.

If m is the money you have left in your account after w weeks, explain why the relationship between the variables is a function

Answer 1

[AI-generated answer — Bot GPT 3.5]

The relationship between the variables in this scenario is a function because for each given week, there is only one corresponding value for the money left in the account. It is determined by subtracting the amount spent per week from the initial amount of money in the account.

For example, in the first week, if you spend $30, the money left in your account would be $240 - $30 = $210. In the second week, if you spend another $30, the money left in your account would be $210 - $30 = $180.

Thus, for each week, there is a unique and deterministic value for the money left in the account, satisfying the definition of a function.