Clearly label all cases (a, b...). Show all your work. Label and scale x- and y-axes. You can type your solutions and answers. Neat handwriting is perfectly acceptable. Please submit your assignment as ONE PDF file on D2L. A zoologist tracks the population of a species of butterfly at the zoo over several years. Time (years) 0 1 2 3 4 5 Population 57 97 165 280 476 809 a) From the table of values, determine an equation that models the butterfly's population growth. Show all your calculations. (6) b) Determine the number of years before the population is 17 times greater than the original number. Round your answer to one digit after the decimal point. Please use logs (MT Lesson #13-1). (3) c) Graph the function and check your answer for b) case. (3)