Question

There is a flu outbreak at your school that starts with 10

people. The number of ill students increases by 20%
each hour. Write an exponential function to represent
the total number of ill
pleaseee help me ​

Answer 1

n(t) = 10×1.2^t

Explanation:

The idea here is that the number of ill students is multiplied by 1+20% = 1.20 each hour. That is, after t hours, you have multiplied the original number by 1.20 "t" times. Of course, repeated multiplication is signified using an exponent.

The form you can use in such cases is ...

value = (initial value)×(growth factor in period)^(number of periods)

Here, you're given a growth rate (20% per hour), so you add 1 to get the growth factor (as we showed above).

Your exponential function can be ...

n(t) = 10×1.20^t