It is a beautiful sunny day at the fair. The U.V. index for this day is 8 or higher so sunscreen is a must. The effectiveness of sunscreen is indicated by the sunscreen protection factor (SPF). The higher the SPF number the less U.V. rays can penetrate to burn the skin. When the protection factor (SPF), s, is known you can determine the percent, p, of the sun’s ultraviolet rays that pass through it by using the following mathematical model:
P=100/S
a) What are the asymptotes for this function? Interpret the meaning of the asymptotes based on the scope of the problem.
b) Graph the function
c) The sunbathers on the beach were using a sunscreen with SPF of 35. What percent of the sun rays will pass through to skin?