Final answer:
The function that represents Peter's situation is y = -15x + 175. In this function, x represents the number of weeks and y represents the amount of money Peter has in his bank account. The coefficient of x is -15 because Peter spends $15 per week, and the constant term of 175 represents the initial amount of money Peter has in his bank account.
Step-by-step explanation:
The function that represents Peter's situation is y = -15x + 175.
In this function, x represents the number of weeks and y represents the amount of money Peter has in his bank account. The coefficient of x is -15 because Peter spends $15 per week. The constant term of 175 represents the initial amount of money Peter has in his bank account.
For example, if we plug in x = 0, we get y = -15(0) + 175 = 175. This means Peter has $175 in his bank account at the beginning. If we plug in x = 1, we get y = -15(1) + 175 = 160. This means Peter will have $160 in his bank account after one week of spending $15.