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,

Get further explanation with Examzify DeepDiveBeta

18,000

17,500

Want more questions?

All options are one-time payments.

$12.50

30 day premium pass

All the basics to get you started

  • Ad-free experience
  • View your previous attempt history
  • Mobile app access
  • In-depth explanations
  • 30 day premium pass access
$30.00 $87.50 usd

6 month DELUXE pass (most popular)

Everything with the 30 day premium pass FOR 6 MONTHS! & the ultimate digital PDF study guide (BONUS)

  • Everything included in the premium pass
  • $87.50 usd value for $30.00! You save $57.50!
  • + Access to the ultimate digital PDF study guide
  • + 6 months of premium pass access
  • + Priority support
$12.50 $18.99

Ultimate digital PDF study guide

For those that prefer a more traditional form of learning

  • Available for instant download
  • Available offline
  • Hundreds of practice multiple choice questions
  • Comprehensive content
  • Detailed explanations
Image Description
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy