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3 years ago

16. What is the rate of decay, r (expressed as a decimal), for data best modeled by the exponential function y=63.4(0.92)^x?

Mathematics

1 answer:

gregori [183]3 years ago

8 0

Answer:

The rate of decay is 0.08

Step-by-step explanation:

we have

$y=63.4(0.92)^{x}$

Let

r-----> the rate of decay

we know that

In this problem

$(1-r)=0.92$

Solve for r

$r=1-0.92=0.08$

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$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$