The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by the function C(n)= (600+115n)/n, where C is the annual cost, in dollars, and n is the number of years. 1. Sketch a graph of C versus n for the entire functionin a paper-pencil style. Clearly label the axes, scale on both axes, the asymptote(s), and the intercept(s). 2. How is the graph of the entire function different from the graph for the real-life situation? 3. Determine increasing interval(s) of the function if it exists. 4. Determine decreasing interval(s) of the function if it exists. 5. Determine the average rate of change between n = 10 years and n = 25 years 6. Determine the instantaneous rate of change at n = 10 years. 7. What is the difference between an average rate of change and an instantaneous rate of change? 8. As n becomes very large, what happens to C?
The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by the function C(n)= (600+115n)/n, where C is the annual cost, in dollars, and n is the number of years.
1. Sketch a graph of C versus n for the entire functionin a paper-pencil style. Clearly label the axes, scale on both axes, the asymptote(s), and the intercept(s).
2. How is the graph of the entire function different from the graph for the real-life situation?
3. Determine increasing interval(s) of the function if it exists.
4. Determine decreasing interval(s) of the function if it exists.
5. Determine the average rate of change between n = 10 years and n = 25 years
6. Determine the instantaneous rate of change at n = 10 years.
7. What is the difference between an average rate of change and an instantaneous rate of change?
8. As n becomes very large, what happens to C?
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