My assignment problems

INVERSE 90a 1) A certain species of tree has a height (in meters) that follows the formula, h = f (a) = 90+a where a represents the age of the tree in years. The formula is valid for positive values of a from 0 to 1000. a) What is the height of a tree that is 5 years old? b) Find f-1 (H) c) Interpret your answer (part b) d) Find f-1 (200) e) Interpret your answer (part d) 2) A company reimburses its traveling sales representative $160 per day for lodging and meals plus 35 cents per mile driven. Create a function f(m) to represent the daily cost, C, as a function of the miles driven, m. a) Answer How much will it cost the company if a sales representative drives 174 miles on a given day? b) Answer Suppose this company would like sales representatives to cover as much area as possible yet keep their daily costs within reasonable limits. In other words, they are interested in a sales representative can travel for C dollars. Using your understanding of an inverse function, create a function that will provide the company with the information they need. c) Answer: d) If the company must limit this daily cost to $250, how many miles, maximum, can a sales representative expect to travel