Question

During the month of February, a flu epidemic hit the University. The number of people sick at
time t (measured in days) is given by the function P(t). The rate at which the epidemic is
spreading on February 3 is 110 people per day. How is the information best represented mathematically?

my answer is P(3)=110. Is this correct or would it be P'(3)=110?

Answer 1

If time t is measured in days <i> from the beginning of the month</i>, P(3)=110 is correct. Since the datum of t is not mentioned, you will have to specify this in your answer.

P'(3) is usually used to mean the <i>rate</i> of change (increase) of the number of infected per day, i.e. how many <i>more</i> per day.

Answer 2

So if though it says that the rate at which the epidemic is spreading is 110 per day that is not rate of change correct?

Answer 3

Perform the indicated operation
-42+6-(-7)-14 is that correct