I Can Write a Model for Exponential Growth and Decay from a Context and Table

Which statements describe the value of the car as a function of x, its age in years? Check all that apply.

• The relationship is quadratic.

• The relationship is exponential.

• The domain is {x| x < 0}.

• The range is {V | 0 < V < 20,000}.

• The value, V, is represented by the equation V = 20,000(0.9)^x.

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CCSS.HSF-LE.A.1A

Jackson, Aria, and Harper are studying the population growth of a certain species of bacteria. They notice that the population growth does not seem to be linear, but rather, it seems to be growing at an increasing rate. Which concept could they use to model this type of growth?

• They could use exponential regression, which models the relationship between equal-length input intervals and proportional output intervals.

• They could use exponential regression, but it is only applicable to discrete data.

• They could use exponential regression, which models the relationship between equal-length input intervals and linear differences in outputs.

• They could use exponential regression, which is used to model linear relationships between variables.

Is the table linear, exponential, or quadratic?

• Linear

• Exponential

• Quadratic

• none of these

Given the table, determine the equation of the function. 

• y = 4(4)^x

• y = 4(¼)^x

• y = 4(x-0)² + 4

• y = 2(x-1)² + 16

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CCSS.HSF.LE.A.2

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Write an exponential function to model the situation. You invest $1500. Your investment escalates at a rate of 3.5%.

• B(t) = 1500(0.965)^t

• B(t) = 1500(1.035)^t

• B(t) = 1500(.035)^t

• B(t) = 1500(1.965)^t

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CCSS.HSF.LE.A.2

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