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Terrance invested money in a technology stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of days. Find the approximate average rate of change from day 3 to day 8.

A 0.496
B 2.016
C 2.48
D 5

Respuesta :

calculista

Answer:

Option A 0.496

Step-by-step explanation:

we know that

The approximate average rate of change is equal to

[tex]\frac{f(8)-f(3)}{8-3}[/tex]

[tex]\frac{f(8)-f(3)}{5}[/tex]

we have

[tex]f(x)=0.01(2^{x})[/tex]

Find f(8)

For x=8

[tex]f(8)=0.01(2^{8})=2.56[/tex]

Find f(3)

For x=3

[tex]f(8)=0.01(2^{3})=0.08[/tex]

Find the approximate average rate of change

[tex]\frac{f(8)-f(3)}{5}[/tex]

substitute

[tex]\frac{2.56-0.08}{5}=0.496[/tex]

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