Question

question 3 of 13
the growth of a new strain of bacteria is represented by y = 79.31(1.48)^x, where x represents the number of days and y represents the number of bacteria. which is the best prediction for the number of bacteria on day 8?
a. 1826 bacteria
b. 939 bacteria
c. 2702 bacteria
d. 2024 bacteria

Explanation:

Step1: Substitute x value

We are given the formula $y = 79.31(1.48)^{x}$ and $x = 8$. Substitute $x = 8$ into the formula: $y=79.31\times(1.48)^{8}$.

Step2: Calculate $(1.48)^{8}$

$(1.48)^{8}=1.48\times1.48\times1.48\times1.48\times1.48\times1.48\times1.48\times1.48\approx25.52$.

Step3: Calculate y

$y = 79.31\times25.52\approx2024$.

Answer:

D. 2024 bacteria