Question

a vitamin degrades in the body according to the function represented in the table, where x is the time in hours and f(x) is the dosage in milligrams. what was the original dose?
\begin{tabular}{|c|c|} hline x & f(x) \\ hline 0 & 500.00 \\ hline 4 & 158.20 \\ hline 8 & 50.06 \\ hline 12 & 15.8 \\ hline 24 & 0.50 \\ hline end{tabular}
$\bigcirc$ 0.50 milligrams
$\bigcirc$ 8 milligrams
$\bigcirc$ 24 milligrams
$\bigcirc$ 500 milligrams

Explanation:

The original dose of the vitamin is the dosage at time \( x = 0 \) hours, as that represents the initial amount before any time has passed (and thus before any degradation has occurred). Looking at the table, when \( x = 0 \), \( f(x)=500.00 \) milligrams. So the original dose is 500 milligrams.

Answer:

D. 500 milligrams