Chapter 12, Problem 6SAP

To determine

To find: correct option that represents $f\left(t\right)$ .

Answer to Problem 6SAP

B.

Explanation of Solution

Given information:

Current population = 20000

Population doubles in every 8 years.

  $f\left(t\right)$ represents the population in $t$ years.

The options are as follows:

  $f\left(t\right)=20000\left(\frac{t}{8}\right)$

  $f\left(t\right)=2{\left(20000\right)}^{\frac{t}{8}}$

  $f\left(t\right)=\frac{20000}{8t}$

  $f\left(t\right)=\left(20000\right){\left(2\right)}^{\frac{t}{8}}$

  $f\left(t\right)=20000{\left(\frac{t}{8}\right)}^2$

Calculation:

Since, the population gets doubled in every 8 years. The function representing the population in $t$ years will be $f\left(t\right)=2{\left(20000\right)}^{\frac{t}{8}}$ . Thus, option B. is correct.