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Grade 11

Contextual problems with exponentials II

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 rodent population, numbering approximately $840$840, is decreasing at a rate of $4%$4% per year.

Easy
2min

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

11U.B.2.5

Represent an exponential function with an equation, given its graph or its properties

11U.B.3.2

Identify exponential functions, including those that arise from real-world applications involving growth and decay, given various representations

11U.B.3.3

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

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