Question
Naming, Evaluating, & Interpreting Functions Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
The number of bugs doubles every 4 days. If the bug population starts with 6 bugs, then the equation A(t)=6(2)0.25t
can represent the number of bugs. Find the value for A(8)
.(1 point)
The number of bugs after 8 days is
.
Remaining Attempts : 3
Skip to navigation
Answers
GPT-4o mini
To find the value of \( A(8) \) using the equation \( A(t) = 6(2)^{0.25t} \), we need to substitute \( t = 8 \) into the equation.
So, we have:
\[
A(8) = 6(2)^{0.25 \times 8}
\]
Calculating the exponent:
\[
0.25 \times 8 = 2
\]
Now substitute back into the equation:
\[
A(8) = 6(2)^{2}
\]
Calculating \( (2)^{2} \):
\[
(2)^{2} = 4
\]
Now substitute that back in:
\[
A(8) = 6 \times 4
\]
Finally, multiplying gives:
\[
A(8) = 24
\]
Therefore, the number of bugs after 8 days is **24**.
So, we have:
\[
A(8) = 6(2)^{0.25 \times 8}
\]
Calculating the exponent:
\[
0.25 \times 8 = 2
\]
Now substitute back into the equation:
\[
A(8) = 6(2)^{2}
\]
Calculating \( (2)^{2} \):
\[
(2)^{2} = 4
\]
Now substitute that back in:
\[
A(8) = 6 \times 4
\]
Finally, multiplying gives:
\[
A(8) = 24
\]
Therefore, the number of bugs after 8 days is **24**.