Question

A mold professional uses an antimicrobial chemical in an attic to combat a colony of mold. If the initial number of mold spores in the colony is
6,200 spores, and the number of spores decreases by 20% every 5 hours,approximately how many hours after will it take for the colony of mold to be
less than 500 spores?

Answer 1

It would take about 57 hours for the number of spores to be less than 500 spores.

Exponential Function

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y is the number of pores after x hours.

a = 6200, b = 100% - 20% = 0.8, hence to be less than 500 spores:

$6200(0.8)^\frac{x}{5} < 500$

(x/5) * ln(0.8) < ln(0.08)

x > 56.4 hours

It would take about 57 hours for the number of spores to be less than 500 spores.

Find out more on Exponential Function at: brainly.com/question/12940982