204k views
2 votes
Once ingested the presence of a certain vitamin supplement in the blood stream decreases exponentially over time. suppose a person takes 4 milligrams of the supplement. the amount of supplement remaining in the persons bloodstream x hours after taking it is given by the function g(x)=4(0.6)^x -10

a. -1
b. 0
c. 1
d. 2
e. 10

1 Answer

0 votes

Final answer:

The high school mathematics question involves calculating the remaining concentration of a vitamin supplement in the bloodstream, which decreases exponentially over time, using the function g(x)=4(0.6)^x - 10. It appears there is a mistake in the function as it predicts negative concentrations of the vitamin. option B is correct answer .

Step-by-step explanation:

The question pertains to a situation where, after taking a vitamin supplement, the concentration of the supplement in the bloodstream decreases exponentially over time. Given the function g(x) = 4(0.6)^x - 10, we are to determine the amount of the supplement remaining in the bloodstream at various time points (x hours after ingestion).

The values provided in the question are a. -1, b. 0, c. 1, d. 2, e. 10. However, there seems to be a misunderstanding, as negative time (-1 hour) does not make sense in this context, and the function implies that it gives negative values for vitamin concentration, which is not possible. This might be a typo or an error in the question. Typically, the amount would be g(x) = 4(0.6)^x for x >= 0.

User Sicks
by
7.4k points