Back to Interpret exponential function properties — Problem 5 · Task Set 26

Exercises: Interpret Exponential Function Properties

Work through each section in order. For each exponential function, identify the initial value, classify as growth or decay, and determine the percent rate before interpreting in context.

Grade 9·19 problems·~30 min·Common Core Math - HS Functions·standard·hsf-if-c-8b

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Fluency Practice

The function $y = 1000 \cdot (1.2)^{t/10}$ models growth over decades (each unit of $t$ is 10 years). Rewrite it in the form $y = 1000 \cdot b^t$ where $t$ is in years. Which is $b$ ?

$b = 1.2$

$b = (1.2)^{10} \approx 6.19$

$b = (1.2)^{1/10} \approx 1.0184$

$b = 0.2$