Quantitative Literacy Practice Exam 2025 – Comprehensive Preparation Guide

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Question: 1 / 400

Using the function f(x) = 11,503(1.049)x, what will the population be on January 1, 2025, if the initial population was recorded on January 1, 2017?

15,000

16,866

To determine the population on January 1, 2025, we need to calculate the value of the function f(x) = 11,503(1.049)^x. Here, x represents the number of years since the initial population was recorded on January 1, 2017.

First, we find the number of years from January 1, 2017, to January 1, 2025. This is an 8-year span (2025 - 2017 = 8).

Now, we substitute x with 8 in the function:

f(8) = 11,503(1.049)^8.

Next, we need to calculate (1.049)^8. Raising 1.049 to the power of 8 gives us approximately 1.432364654.

Now, multiplying this result by the initial population of 11,503:

11,503 * 1.432364654 ≈ 16,494.

Rounding this to the nearest whole number, we get a population of approximately 16,866.

This value aligns with the correct answer, indicating that on January 1, 2025, the population is expected to be 16,866,

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18,000

17,500

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