A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It turns out that the cost for a box of oranges is a function of the percentage of the citrus crop that was frozen, i. e. c = g(P), where c is the price of a box of oranges and P is the
percentage of the citrus crop that was frozen. When only 20% of the crop was frozen, the price for a box of oranges was $11.58. However, the price per
box was $25.32 when 80% of the crop was frozen.
A. Identify the input quantity of the function.
B. Identify the output quantity of the function.
C. Using the method demonstrated in the Module 3 presentation, create a formula for a linear function that represents this situation. i. e. your formula
should use one of the given reference points rather than the vertical intercept. (Note: You will need to first find the constant rate of change.)
D. Re-write your formula in y = mx + b form. Show your work.
E. Identify a Practical Domain for the function and explain your reasoning for the choice.
F. Identify a Practical Range for the function and explain your reasoning for the choice.
G. Explain the meaning of g- (12) in the context of the problem.
H. Determine the inverse formula for P = g(c).
1. Evaluate g-' (12)