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.

x	f(x)
4	158.20
8	50.06
12	15.8
24	0.50

what was the original dose?

• 0.50 milligrams
• 8 milligrams
• 24 milligrams
• 500 milligrams

Explanation:

Step1: Understand the table

The table shows the dosage \( f(x) \) of a vitamin at different times \( x \) (in hours). The original dose is the dosage at time \( x = 0 \), because that's the initial time before any degradation has occurred.

Step2: Find the value at \( x = 0 \)

Looking at the table, when \( x = 0 \), the value of \( f(x) \) is 500.00 milligrams.

Answer:

500 milligrams