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5.05 Exponential growth and decay

Adaptive
Worksheet

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

Ryan has been earning a decent income from playing online poker. He started out with $\$200$$200 and has been able to triple his money every year.

Medium
1min

A ball dropped from a height of $24$24 meters will bounce back off the ground to $60%$60% of the height of the previous bounce (or the height from which it is dropped when considering the first bounce).

Medium
2min
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Outcomes

MA.912.AR.1.1

Identify and interpret parts of an equation or expression that represent a quantity in terms of a mathematical or real-world context, including viewing one or more of its parts as a single entity.

MA.912.AR.5.3

Given a mathematical or real-world context, classify an exponential function as representing growth or decay.

MA.912.AR.5.4

Write an exponential function to represent a relationship between two quantities from a graph, a written description or a table of values within a mathematical or real-world context.

MA.912.F.1.2

Given a function represented in function notation, evaluate the function for an input in its domain. For a real-world context, interpret the output.

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