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5.05 Exponential growth and decay

Adaptive
Worksheet

Interactive practice questions

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.

a

Write a function to represent the amount of money he had, $y$y, after $n$n years.

b

Find the amount of money he had after $5$5 years of playing online poker.

Medium
1 min

An online business that sells phones online has been growing very quickly over the last year. They have asked you to model their growth over the next three quarters, and further into the future.

Hard
8 min

The table of values below represents an exponential decay function.

Medium
2 min

The following graph shows the value of a population $P$P over time.

Medium
< 1 min
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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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