Question

Did I do this correct?Organisms A and B start out with the same population size.Organism A's population doubles every day. After 5 days, the population stops growing and a virus cuts it in half every day for 3 days.Organism B's population grows at the same rate but is not infected with the virus. After 8 days, how much larger is organism B's population than organism A's population? Answer the questions to find out.

Answer 1

Check Explanation.

Step-by-step explanation

Let the two populations start with N

Question 1

In the first five days, organism A doubles everyday, giving

2⁵ × N = 32 × N = 32N

Question 2

In the next three days that the organism A populationbegins to half, we will have (2⁻¹)³ = 2⁻³

This is because when a variable carries a power and is raised to an extra power, the answer is the variable carrying the product of these two powers.

Question 3

By combining the increase and decrease, we have

N × 2⁵ × 2⁻³ = N × 32 × (1/8) = 4N

This is because when the same variable, carrying different powers are multiplied with each other, then, the result is that same variable raised to the power of the sum of the two powers from before multiplication.

Question 4

For organism B, the population keeps doubling for the next 8 days

2⁸

Question 5

Organism A's population after 8 days = 4N

Organism B's population after 8 days = 2⁸N = 256N

Hence, B's population is

256N ÷ 4N = 64 times greater than A's population

Hope this Helps!!!