Question

George monitors the number of influenza infections reported in a certain neighborhood in a given week. The recent numbers are shown in this table:
Week Number of People
0 40
1 48
2 58
3 69

According to his reports, the reported infections are growing at a rate of 20%.

If the number of infections continues to grow exponentially, what will the number of infections be in week 8?

Answer 1

The number of infections in week 8 will be 172 people

How to know an exponential table?

An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent.

According to the reports, the reported infections are growing at a rate of 20%.

Therefore, the exponential function is as follows:

A = 40(1 + 20%)ⁿ

where

• n = number of weeks

Hence,

Number people = 40(1 + 0.2)ⁿ

when n = 8 weeks

A = 40 (1 + 0.2)⁸

A = 40 (1.2)⁸

A = 40(4.29981696)

A = 171.9926784

A = 172

Therefore, the number of infections in week 8 is 172 people.

learn more on exponential table here: brainly.com/question/24832795

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