Answer:
n(t) = 10×1.2^t
Step-by-step 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
