Chapter 9 Writing Assignment Name Please solve the following two problems, and show your work. 1. Linear Modeling: Florence picks oranges in an orchard at a constant rate. She has picked 360 oranges by 9:00 a.m. (t=9) and 600 apples by 11:30 a.m. (t=11.5). a. If we use G for the number of oranges picked and t for time measured in hours, write the equation of the linear function which models Florence's rate of picking oranges. Hint: There are implicitly two points of data given, in the form (t,G). You can use those two points to find the slope (which is the constant rate of change in oranges per hour), and then the function equation. b. What is the rate at which Florence is picking oranges (in oranges per hour)? c. Use the function equation you found to solve for what time Florence began picking oranges (t=?). You can do that by setting G equal to zero, and solving for t. d. Use the function equation to find the number of oranges Florence will have picked by 2:30 p.m., her quitting time, (t=14.5). 2. Exponential Modeling: A forest that had 400,000 acres of old growth is being clear cut at a rate of 7% per year. a. Find the exponential equation of form Q = Q, % (1 + r)! which models the amount of old growth remaining in the forest. Hint: r will be a negative number since this problem is about exponential decrease (also called exponential decay). b. Use the exponential equation to find the number of acres of old growth which remain after 5 years, and then how much remains after 12 years