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6.02 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
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. *Linear, quadratic, and exponential (integer inputs only)

F.IF.8*

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. *Limited to linear, exponential, quadratic, absolute value, step, piecewise defined

F.BF.1*

Write a function that describes a relationship between two quantities. *Linear, quadratic, and exponential functions.

F.BF.1a

Determine an explicit expression, a recursive process, or steps for calculation from a context.

F.LE.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).

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