It is a beautiful sunny day at the fair. The U.V. index for this day is 8, or high, so sunscreen is a must for all the young folk. The effectiveness of sunscreen is indicated by the sunscreen protection factor (SPF). The higher the SPF number the fewer 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:


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’s rays will pass through to skin?

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  1. surely you can graph the function. You keep posting and waiting for someone elseto do your work.

    since division by 0 is undefined, there is a vertical asymptote at s=0
    as s gets huge, the fraction gets small, so there is a horizontal asymptote at p=0

    for (c), just plug in 35 for s ...

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