The equation =y8000(1.09)^x describes the amount of an investment (in dollars) based on the number of years it's been allowed to grow. (a) Identify what the equation =y8000(1.09)^x illustrates. Quadratic growth, linear decay. linear growth, quadratic decay, expotential growth, or expotential decay

Lennie Carroll 2020-12-05 Answered
The equation =y8000(1.09)x describes the amount of an investment (in dollars) based on the number of years its
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liingliing8
Answered 2020-12-06 Author has 95 answers

We have the given equation is y=8000(1.9)x
After seeing the equation it is clear that it is neither quadratic growth nor quadratic decay and it is also same for linear.
We also know that the exponential growth and decay is given by the formula
y=abx where ane0, the base bne1 and x is any real number.
Now, if b>1then the function represents exponential growth and if 0 Comparing the given function we get
a=8000 and b=1.09>1
Therefore, we can say that the given equation is an exponential growth.

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