Question

The current population of Rochester is 211,000 and is decreasing at a rate of 4.1% every ten years. Which function can be used to find the population 30 years from now?

Answer 1

Answer:

211,000(0.97)t

Step-by-step explanation:

Firstly; Write the exponential decay function for this situation.

y = a(1 – r)t                                Write the formula.

= 211,000(1 – 0.041)t                 Substitute 1700 for a and 0.03 for r.

= 211,000(0.97)t                        Simplify.        

Next; Find the population in function.

y = 1700                    Substitute 12 for t.    

 ≈ 1180                      Use a calculator and round to the nearest whole number.                                  

The population in 30 years function will be approximately 211,000(0.97)t.