Question

question 10
10 pts
amdm.par.8.1 (hc)
when you take 500mg of aspirin, the amount of aspirin in your body decreases by 14% each hour. which of these equations accurately depicts this, if you want to calculate the amount of aspirin in the body after 5 hours?
a₁₄ = 500 × 5¹⁴
a₅ = 500 × 0.14⁵
a₅ = 500 × 0.86⁵
a₅ = 500 × 1.14⁵

Explanation:

Step1: Find remaining aspirin percentage

Since 14% is eliminated, remaining is $100\% - 14\% = 86\% = 0.86$.

Step2: Apply exponential decay formula

The formula for remaining amount after $t$ hours is $A_t = \text{Initial Amount} \times (\text{Remaining Fraction})^t$. For $t=5$, initial amount = 500mg.
<Expression>
$A_5 = 500 \times 0.86^5$
</Expression>

Answer:

$A_5 = 500 \times 0.86^5$ (the third option)