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3.09 Review: Exponential growth and decay

Interactive practice questions

Consider the function $y=0.68\left(1.6\right)^x$y=0.68(1.6)x.

a

Identify what type of function this is:

Exponential growth

A

Exponential decay

B
b

What is the rate of growth?

Easy
1min

Consider the function $y=0.98\left(0.2\right)^x$y=0.98(0.2)x.

Easy
< 1min

The local rat population numbers approximately $750$750 and is increasing at a rate of $3%$3% per year.

Easy
1min

Luigi purchased a sculpture for $\$2900$$2900, and it is expected to increase in value by $9%$9% per year.

Easy
3min
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Outcomes

A-CED.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

F-IF.8b

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. b. Use the properties of exponents to interpret expressions for exponential functions. Apply to financial situations such as Identifying appreciation/depreciation rate for the value of a house or car some time after its initial purchase: V = P(1 + r)^n

F-BF.1a

Write linear, quadratic, and exponential functions that describe relationships between two quantities. a. Determine an explicit expression, a recursive process, or steps for calculation from a context.

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