To find the number of bugs after 8 days using the equation \( A(t) = 6(2)^{0.25t} \), we first substitute \( t = 8 \):
\[ A(8) = 6(2)^{0.25 \cdot 8} \]
Calculating \( 0.25 \cdot 8 \):
\[ 0.25 \cdot 8 = 2 \]
Now we can substitute this back into the equation:
\[ A(8) = 6(2)^2 \]
Calculating \( (2)^2 \):
\[ (2)^2 = 4 \]
Now multiply:
\[ A(8) = 6 \cdot 4 = 24 \]
Therefore, the number of bugs after 8 days is \( 24 \).
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