The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that reaches a depth d, in metres, can be modelled by the function p(d)=100(0.85)^d   a) Graph P(d) for the interval [0, 10] in paper-pencil-ruler style.                                                 b) Graph the inverse of P on the same grid in paper-pencil-ruler style.   c) Use your graph of the inverse of P to determine the depth at which the percentage of sunlight is 50%. Test your value for depth in the original equation for P .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
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The deeper you are under water; the less sunlight reaches you. The percent of sunlight, P, that reaches a depth d, in metres, can be modelled by the function p(d)=100(0.85)^d

 

a) Graph P(d) for the interval [0, 10] in paper-pencil-ruler style.                                                

b) Graph the inverse of P on the same grid in paper-pencil-ruler style. 

 c) Use your graph of the inverse of P to determine the depth at which the percentage of sunlight is 50%. Test your value for depth in the original equation for P .                                                                                            

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