# 5.02 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

Exponential growth

A

Exponential decay

B
b

What is the rate of growth?

Easy
Approx a minute

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

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

Justin purchased a piece of sports memorabilia for $\$29002900, and it is expected to increase in value by $9%$9% per year.

### Outcomes

#### A.CED.A.2'

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. 'Linear and exponential (integer inputs only)

#### F.BF.A.1'

Write a function that describes a relationship between two quantities. 'Linear and exponential (integer inputs)

#### F.BF.A.1.A'

Determine an explicit expression, a recursive process, or steps for calculation from a context. 'Linear and exponential (integer inputs)

#### F.LE.A.2

Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

#### F.LE.B.5

Interpret the parameters in a linear or exponential function in terms of a context.