Hana deposited a fixed amount into her bank account each month. The function f (t) = 100 + 25t gives the amount, in dollars, in Hana's bank account after t monthly deposits. What is the best interpretation of 25 in this context?
Correct answer: A. With each monthly deposit, the amount in Hana's bank account increased by $25.
- A. With each monthly deposit, the amount in Hana's bank account increased by $25.
- B. Before Hana made any monthly deposits, the amount in her bank account was $25.
- C. After 1 monthly deposit, the amount in Hana's bank account was $25.
- D. Hana made a total of 25 monthly deposits.
Explanation
Choice A is correct. It's given that t represents the number of monthly deposits. In the given function f (t) = 100 + 25t , the coefficient of t is 25. This means that for every increase in the value of t by 1, the value of f increases by 25. It follows that with each monthly deposit, the amount in Hana's bank account increased by $25.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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