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Algebra Difficulty: Easy

Hana deposited a fixed amount into her bank account each month. The function $f (t) = 100 + 25 t$ gives the amount, in dollars, in Hana's bank account after $t$ monthly deposits. What is the best interpretation of $25$ in this context?

With each monthly deposit, the amount in Hana's bank account increased by $dollar sign 25$ .

Before Hana made any monthly deposits, the amount in her bank account was $dollar sign 25$ .

After $1$ monthly deposit, the amount in Hana's bank account was $dollar sign 25$ .

Hana made a total of $25$ monthly deposits.

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Explanation

Choice A is correct. It's given that $t$ represents the number of monthly deposits. In the given function $f (t) = 100 + 25 t$ , the coefficient of $t$ is $25$ . This means that for every increase in the value of $t$ by $1$ , the value of $f (t)$ increases by $25$ . It follows that with each monthly deposit, the amount in Hana's bank account increased by $dollar sign 25$ .

Choice B is incorrect. Before Hana made any monthly deposits, the amount in her bank account was $dollar sign 100$ .

Choice C is incorrect. After $1$ monthly deposit, the amount in Hana's bank account was $dollar sign 125$ .

Choice D is incorrect and may result from conceptual errors.