A.PAR.8.4

Represent constraints by exponential equations and interpret data points as possible or not possible in a modeling environment.

Example Problems
A bacteria culture doubles every hours. The culture initially has 300 bacteria. After hours, there are 9,600 bacteria.
Write an equation in terms of
that models the situation.
A patient is given 80 mg of a medication that decreases by 25% each hour in the bloodstream. The medicine becomes ineffective when only 10 mg remain.
Write an equation in terms of
(hours) that models when the medication loses effectiveness.
A savings account earns 4.5 % annual interest, compounded monthly. It currently contains $6 000. The account owner wants the balance to exceed $8 000 in t years.
Write an inequality in terms of t that models this goal. (Use 12 compounding periods per year.)
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