The exponential function f(x)=42.2(1.56)^x models the average amount spent, f(x), in dollars, at a shopping mall after x hours. What is the average amount spent, to the nearest dollar, after four hours?

Lipossig

Lipossig

Answered question

2021-03-11

The exponential function f(x)=42.2(1.56)x models the average amount spent, f(x), in dollars, at a shopping mall after x hours. What is the average amount spent, to the nearest dollar, after four hours?

Answer & Explanation

grbavit

grbavit

Skilled2021-03-12Added 109 answers

Consider the given exponential function:
f(x)=42.2(1.56)x
Where, f (x) is the average amount spent in dollars.
To Find:
The average amont spent after four hours:
Substitute x=4:
f(4)=42.2(1.56)4
f(4)=42.2(5.92240896)
f(4)=249.9256
f(4)250
Hence, the average amount spent after four years is $250.

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