The cоnsumer price index cоmpаres the cоsts, c, of goods аnd services over vаrious years, where 1972 is used as a base. The same goods and services that cost $100 in 1972 cost $325.42 in 2026. a) Write c as an exponential function, rounding the growth rate k to 4 decimal places. Let t be the number of years after 1972. b) Estimate what the goods and services cost $100 in 1972 will cost in 2030 (to the nearest cent). c) Estimate the rate of change of the cost of goods and services in 2030 to 2 decimal places. Interpret the answer and Indicate units. d) In what year will the cost of goods and services be worth 4 times as much as they were in 1972? Type the answers in the space provided. Show all work on the whiteboard, and show the whiteboard to the camera. Then, erase the whiteboard.