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11Alexandr11 [23.1K]
1 year ago
6

Terry invested money in a biotech stock whose growth is modeled by the function f(x) = 0.01(2)x, where x represents number of da

ys. Find the approximate average rate of change from day 2 to day 10.
Mathematics
2 answers:
Luden [163]1 year ago
8 0

Answer:

The average rate of change is 1.275

strojnjashka [21]1 year ago
3 0

Answer:

The average rate of change is 1.275

Step-by-step explanation:

The average rate of change of f(x) from x=a to x=b is given by:

\frac{f(b)-f(a)}{b-a}

The money Terry invested is modeled by the function f(x)=0.01(2)^x where x represents number of days.

The average rate of change from day 2 to day 10 is given by:

\frac{f(10)-f(2)}{10-2}

f(10)=0.01(2)^{10}=10.24

f(2)=0.01(2)^{2}=0.04

The average rate of change becomes:

\frac{10.24-0.04}{8}

=\frac{10.2}{8}=1.275

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