Question

Suppose 25 flour beetles are left undisturbed in a warehouse bin. The beetle population doubles in sizeevery week. The equation P(x) - 25.2" can be used to determine the number of beefies after x weeks.Complete the table.PopulationWeek012345Question 12 (1 point)Calculate the average growth rate between weeks 1 and 3.Blank 1:

Answer 1

Answer:

Completing the table, we have;

Explanation:

Given that the number of beetles after x weeks can be determined using the equation;

$P(x)=25\ast2^x$

Let us substitute to complete the table;

$\begin{gathered} at\text{ x=0} \\ P(0)=25\ast2^0=25\times1 \\ P(0)=25 \end{gathered}$$\begin{gathered} at\text{ x=1;} \\ P(1)=25\ast2^1=25\times2 \\ P(1)=50 \end{gathered}$$\begin{gathered} at\text{ x=2;} \\ P(2)=25\ast2^2=25\times4 \\ P(2)=100^{} \end{gathered}$$\begin{gathered} at\text{ x=3;} \\ P(3)=25\ast2^3=25\times8 \\ P(3)=200 \end{gathered}$$\begin{gathered} at\text{ x=4;} \\ P(4)=25\ast2^4=25\times16 \\ P(4)=400 \end{gathered}$$\begin{gathered} at\text{ x=5;} \\ P(5)=25\ast2^5=25\times32 \\ P(5)=800 \end{gathered}$

Completing the table, we have;