Topics
Exponentials
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CanadaON
Grade 11

Finding Exponential Equations in Context

Lesson
Practice

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

11M.B.2.2

Identify exponential functions, including those that arise from real-world applications involving growth and decay, given various representations, and explain any restrictions that the context places on the domain and range

11M.B.2.3

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

11M.B.3.2

Solve problems, using a scientific calculator, that involve the calculation of the amount, A (also referred to as future value, FV ), and the principal, P (also referred to as present value, PV ), using the compound interest formula in the form A = P(1 + i)^n [or FV = PV(1 + i)^n ]

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