Chapter 7.6, Problem 41PPE

(a)

To determine

Function represent the population of fungi after n weeks.

Answer to Problem 41PPE

The function is $y=15\cdot 2^{\frac{n}{3}}$

Explanation of Solution

Given data:

Population of fungi is A=15

Formula used:

  $y=A\cdot 2^{\frac{n}{3}}$

Calculation:

As the beginning population of fungi changes from 10 to 15 so

The function changes to

  $y=15\cdot 2^{\frac{n}{3}}$

Conclusion:

The function is $y=15\cdot 2^{\frac{n}{3}}$

(b)

To determine

Function represent the population of fungi after n weeks.

Answer to Problem 41PPE

The equation will be $y=15\cdot 3^{\frac{n}{4}}$

Explanation of Solution

Given data:

Current population 15

They triple after every four weeks

Calculation:

  $y=15\cdot 2^{\frac{n}{3}}$ is the equation when the population is 15 and they double after 3 weeks

Now they started triple after every four weeks

So the equation is:

  $y=15\cdot 3^{\frac{n}{4}}$

Conclusion:

The equation will be $y=15\cdot 3^{\frac{n}{4}}$