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I am not sure how to approach these 8. A marine biologist measures the presence of a pollutant in an ocean and concludes that the

I am not sure how to approach these

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8. A marine biologist measures the presence of a pollutant in an ocean and concludes that the concentration, C, in parts per million (ppm), as a function of the population, P, of the people who visit the beach is given by C(P) = 1.38P+97.4 . The population of people visiting the beach, in thousands, can be modeled by P(1) = 12 (1.078)' where t is the time in years since the first measurement. a. Determine an equation, in simplified form, for the concentration of pollutant as a function of the number of years since the first measurement. [T2] b. How long (to the nearest year) will it take for the concentration to reach 180 ppm? [T3] 9. You are designing a water slide. Your first step is to create an algebraic model to describe the slide's profile, as shown. a. Use graphing technology to determine an equation for the algebraic model. Consider the shape only; do not worry about scale. Describe how you arrived at your design. [T3] [C2] b. Because of safety concerns, you want to make the slide less steep, and with smaller bumps. Suggest changes to your algebraic model and an include a graph that shows your original design and the one that has the improved safety features. [T2] [C2]

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