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.
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.
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.)
Write an inequality in terms of t that models this goal. (Use 12 compounding periods per year.)

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