Question
The number of canned food goods in a local store decreases at a rate of 4% per month. The number of cans of food in the store was originally 10,984.
Which function models the number of cans in this store after m months?
Responses
A f(m) = 10,984(0.96)mf ( m ) = 10,984(0.96) m
B f(m) = 10,984(1.04)mf ( m ) = 10,984(1.04) m
C f(m) = 0.96(10,984)mf ( m ) = 0.96(10,984) m
D f(m) = 1.04(10,984)m
Which function models the number of cans in this store after m months?
Responses
A f(m) = 10,984(0.96)mf ( m ) = 10,984(0.96) m
B f(m) = 10,984(1.04)mf ( m ) = 10,984(1.04) m
C f(m) = 0.96(10,984)mf ( m ) = 0.96(10,984) m
D f(m) = 1.04(10,984)m
Answers
GPT-4o mini
The problem states that the number of canned food goods in a local store decreases at a rate of 4% per month. Therefore, the amount remaining after each month is 96% of the previous month's amount (100% - 4% = 96%).
To model this situation mathematically, we start with the initial number of cans, which is 10,984, and multiply it by 0.96 for each month \( m \).
The correct function that models the number of cans in the store after \( m \) months is:
\( f(m) = 10,984(0.96)^m \)
Thus, the correct response is:
**A** \( f(m) = 10,984(0.96)^m \)
To model this situation mathematically, we start with the initial number of cans, which is 10,984, and multiply it by 0.96 for each month \( m \).
The correct function that models the number of cans in the store after \( m \) months is:
\( f(m) = 10,984(0.96)^m \)
Thus, the correct response is:
**A** \( f(m) = 10,984(0.96)^m \)