7.1 - Exponential Growth and Decay
Presentation
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Mathematics
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9th - 12th Grade
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Practice Problem
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Medium
+1
Standards-aligned
Steve Dull
Used 31+ times
FREE Resource
12 Slides • 5 Questions
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To model exponential growth and decay
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A function with a variable as an exponent
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There are two types of exponential behavior:
Exponential Growth: as the value of x increases, the value of y increases. if a>0 and b>0, the function represents exponential growth
Exponential Decay: as the value of x increases, the value of y decreases, approaching 0. If a>0 and 0<b<1, the function represents exponential decay.
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In either case, the y-intercept is (0, a), the domain is all real numbers, the asymptote is y=0, and the range is y>0.
(An asymptote is a line that a graph approaches as x or y increases in absolute value.
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Open Ended
Does the function f(x)=1.5x model growth or decay? How do you know?
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Multiple Choice
A new vehicle loses a certain percentage of its value every year. Which graph could represent the value of the vehicle over time?
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Multiple Choice
A couple buys a house for $200,000. The value of the house appreciates at 7% per year. Which equation models this situation?
y=200,000⋅0.93x
y=200,000⋅1.07x
y=200,000⋅7x
y=200,000⋅x7
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Open Ended
A couple buys a house for $200,000. The value of the house appreciates at 7% per year. How much has the value of the house increased after 4 years?
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Poll
We can do this, right?
Yes
Maybe, leaning yes
Maybe, leaning no
No
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