Question

question 14 of 25
a colony of bacteria is growing exponentially according to the function below,
where ( t ) is in hours. what will the approximate number of bacteria be after 7
hours?

( b ( t ) = 4 cdot e ^ { 0.8 t } )

a. 1082
b. 45,674
c. 270
d. 635,818

Explanation:

Step1: Substitute t=7 into B(t)

$B(7) = 4 \cdot e^{0.8 \times 7}$

Step2: Calculate exponent value

$0.8 \times 7 = 5.6$

Step3: Compute $e^{5.6}$

$e^{5.6} \approx 270.4264$

Step4: Multiply by 4

$4 \times 270.4264 \approx 1081.7056$

Answer:

A. 1082