Final answer:
a. The function that represents the amount in Aileen's account after m months is Amount = 80 + 15m. b. Aileen will not have $23 in her savings account with the given deposit and starting amount.
Step-by-step explanation:
a. The amount in Aileen's account after m months can be represented by the function:
Amount = 80 + 15m
b. To find the number of months it will take for Aileen to have $23 in her savings account, we can set up the equation:
23 = 80 + 15m
Simplifying the equation:
15m = 23 - 80
15m = -57
m = -57/15
The number of months cannot be negative, so Aileen will not have $23 in her savings account with the given deposit and starting amount.