Question

1) Which equation could be used to estimate the population of Oak City in 10 years?

Answer 1

Answer:

1) A

2) B

Step-by-step explanation:

For this problem we use exponential growth formulas

$y = y_0(1 + r) ^ t$ if the population increases when t increases

$y = y_0(1-r) ^ 2$ If the population decreases when t increases

Where and is the population as a function of time, $y_0$ is the initial population, r is the growth rate, t is the time in years.

1) In this situation we have that $y_0 = 48000$, the growth is 2.4%, then $r = 0.024$ and $t = 10$ and the equation is:

$y = 48000(1 + 0.024) ^ {10}$

$y = 48000(1.024) ^ {10}$ -------- Option A)

2) In this situation we have that $y_0 = 82000$, the decrease is 1.7%, then $r = 0.017$ and $t = 5$ and the equation is:

$y = 82000(1-0.017) ^ 5$

$y = 82000(0.983) ^ 5$ -------- Option B)