Question

question 10

otis monitors the number of strep infections reported in a certain neighborhood each week. according to his reports, infections are growing at a rate of 28% per week.

if the number of infections starts at 8 and continues to grow exponentially, what will the number of infections be in week 7?

31 infections
38 infections
26 infections
45 infections

Explanation:

Set up the exponential growth model

Using the Exponential Modeling Applications knowledge point

$$
LATEXBLOCK0
$$

Calculate the value at week 7

Using the Exponential Modeling Applications knowledge point

$$
LATEXBLOCK1
$$

Round to the nearest whole number

Using the Exponential Modeling Applications knowledge point

$$ A(7) \approx 45 $$

Answer:

• (A) 31 infections
• (B) 38 infections
• (C) 26 infections
• (D) 45 infections (Correct answer)