Question: ENERGY CONSUMPTION OF APPLIANCES The average energy consumption of the typical refrigerator/freezer manufactured by York Industries is approximately
C(t) = 1486e-0.073t + 500 (0 ≤ t ≤ 20)
kilowatt-hours (kWh) per year, where t is measured in years, with t = 0 corresponding to 1972.
a. What was the average energy consumption of the York refrigerator/freezer at the beginning of 1972?
b. Prove that the average energy consumption of the York refrigerator/freezer is decreasing over the years in question.
c. All refrigerator/freezers manufactured as of January 1, 1990, must meet the 950-kWh/year maximum energyconsumption standard set by the National Appliance Conservation Act. Show that the York refrigerator/ freezer satisfies this requirement.