20. DEPRECIATION Depreciation is the decrease in the value of an item resulting from its age or wear. When an item loses about the same percent of its value each year, an exponential function can be used to model its decreasing value over time. The function $g(x)=12,000(0.85)^x$ can be used to model the value of a $\$ 12,000$ car as it depreciates at an annual rate of 15% over x years. g(x) is a dilation of the parent function f(x)=0.85^x. The graph shows the function g(x).
a. Write the equation of a function h(x) that represents the depreciation of a $20,000 car depreciating at the same rate over x years.
b. Describe h(x) as it relates to the parent function.
c. What is the difference between the values of the $12,000 car and the $20,000 car 5 years?