Question

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A school with a population of 2,500 students experiences a flu outbreak. It is found that the number of healthy students at the school is decreasing at a rate of 15% each day. Which function can be used to find the number of healthy students at the school d days after the outbreak begins?

Answer 1

The function that can be used is x = (2500 × 0.15)(number of days, or d)

Explanation:

First we can create an equation to find this easier. We can say that x, or the number of infected students, is equal to (2500 × 0.15), since percentages are easily changed into decimals, and multiply that by the number of days or d.

Answer 2

y=2500(0.85)^d

Explanation:

Seeing as there are no option choices, I shall digress.

Because of a decrease of 15% each day, it means exponential decay. Using the formula y=a(1-r)^x, we have y=2500(1-0.15)^d -> y=2500(0.85)^d

Your function would thus be y=2500(0.85)^d