3

Set 1: Polynomial Functions (Intermediate)

Explanation

Answer: D

A group of students voted on five after-school activities. The bar graph shows the number of students who voted for each of the five activities. How many students chose activity 3?

Choose the correct answer.

A.

48

B.

50 --

C.

39

D.

25

✓ Correct

Detailed Explanation

Choice D 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 25.ChoiceCisincorrect.BeforeHanamadeanymonthlydeposits,theamountinherbankaccountwas25. Choice C is incorrect. Before Hana made any monthly deposits, the amount in her bank account was 100. Choice A is incorrect. After 1 monthly deposit, the amount in Hana’s bank account was $125. Choice B is incorrect and may result from conceptual errors.

Key Steps:

The correct answer is 25

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.

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