Hana deposited a fixed amount monthly. The function f(t) = 100 + 25t gives the amount in dollars after t monthly deposits. What is the best interpretation of 25?

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TAS Mathematics QUESTION #5461

Question 1

Hana deposited a fixed amount monthly. The function $f(t) = 100 + 25t$ gives the amount in dollars after $t$ monthly deposits. What is the best interpretation of $25$?

With each deposit, the amount increased by $\$25$.✔️
Before any deposits, the amount was $\$25$.
After $1$ deposit, the amount was $\$25$.
Hana made $25$ total deposits.

Correct Answer Explanation

The slope $25$ in the linear function $f(t) = 100 + 25t$ represents the change in amount per month (per deposit).

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