Advanced Function (MHF4UO) Unit 1 exponential and logarithmic function

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)". Clearly label all cases (a, b, c....). Answers must be clear to read and show all steps. Use appropriate units for your answers. Clearly label the axes, scale on both axes, the asymptote(s) if exists, and the intercept(s) if exists. You can type your solutions and answers. Neat handwriting is perfectly acceptable. Please submit your assignment as ONE PDF file. Graph P(d) for the interval [0, 10] in paper-pencil-ruler style. (6) b) Graph the inverse of P on the same grid in paper-pencil-ruler style. (3) 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. (2) d) Use your graph of P to calculate the average rate at which the sunlight is absorbed over the first 5 m. (4) e) is the instantaneous rate at which sunlight is absorbed at a depth of 5 m greater than your answer in part d)? Explain.