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HSF.IF.C.8.b Tutor Intake — Interpreting Exponential Function Parameters

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Grade 9·11 problems·~13 min·Common Core Math - HS Functions·standard·hsf-if-c-8b

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Procedures

A radioactive substance has a half-life of 5 years. Its amount is modeled by
$A(t) = 200\left(\tfrac{1}{2}\right)^{t/5}$ .

After rewriting in the form $A(t) = 200 \cdot b^t$ , which value is closest
to the base $b$ ?

$0.500$ (decays 50% per year)

$0.871$ (decays about 12.9% per year)

$0.250$ (decays 75% per year)

$1.149$ (grows about 14.9% per year)