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Grade 11

Finding Exponential Equations in Context

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

A large rectangular piece of paper is folded in half repeatedly. After every fold, the paper is reopened and the number of rectangles counted.

Easy
3min
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Outcomes

11C.A.3.2

Describe some characteristics of exponential relations arising from real-world applications (e.g., bacterial growth, drug absorption) by using tables of values and graphs

11C.A.3.3

Pose problems involving exponential relations arising from a variety of real-world applications, and solve these and other such problems by using a given graph or a graph generated with technology from a given table of values or a given equation

11C.A.3.4

Solve problems using given equations of exponential relations arising from a variety of real-world applications by substituting values for the exponent into the equations

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