If the air temperature on a given day is 80F, the heat index I(h) (also in F) can be approximated by the following function, where

If the air temperature on a given day is 80ºF, the heat index I(h) (also in ºF) can be approximated by the following function, where h is the relative humidity as a percentage:

a. What is the heat index if the relative humidity is 30%? What if it is 90%?

b. What relative humidity produces a heat index of 83ºF?

c. Is the heat index function I(h) continuous at h = 40? What about at h = 80?

I(h): 80 80+ 0.1(h40) if 0 h 40 if 40