Sleep Time (Women) Until women reach their mid-60s, they tend to get less sleep per...

Sleep Time (Women) Until women reach their mid-60s, they tend to get less sleep per night as they age. The average number of hours (in excess of eight hours) that a woman sleeps per night can be modeled as

when the woman is w years of age, 15 ≤ w ≤ 64. (Source: Based on data from the Bureau of Labor Statistics)

a. How much sleep do women of the following ages get: 15, 20, 40, 64?

b. Using the results from part a, write a model giving age as a function of input s where s + 8 hours is the average sleep time.