The sales of a new high-tech item (in thousands) are given by S(t) = 102 - 90 e -0.31 where t represents time in years. Find the rate of change of sales at each time. a.) After 1 year. b.) After 5 years. c.) What is happening to the rate of change of sales as time goes on? d.) Does the rate of change of sales eve a. The rate of change after 1 year is thousand items per year. (Round to three decimal places as needed.) b. The rate of change after 5 years is thousand items per year. (Round to three decimal places as needed.) c. What is happening to the rate of change of sales as time goes on? O A. It always decreases. O B. It always increases. O C. First it increases, then it decreases. O D. First it decreases, then it increases. d. Does the rate of change of sales ever equal zero? O Yes O No Click to select vour answer/e)

Given that height of the water in a tank is increasing at a constant rate of 3.7 cm/min, use the rate of change to determine the missing values in the table. Time (in min) Height of water (in cm 2.8   3.9 23.03 5.5     43.01

It is estimated that within ? years, the local newspaper circulation will be ?(?) = 100?2 + 400? + 5000. a)Obtain an expression for the rates of change of circulation respect the time ?.b)Which is the rate of change of circulation respect to ? equal to 5 years? Willdecrease or increase the circulation in this moment?c) How is the change of circulation during the sixth year?

The table below gives the population of the small (imaginary) town of Wisteria. What is the average rate of change of the town's population from 1970 to 1980? Give your answer with one decimal place of accuracy to the right of the decimal point, and give appropriate units for your answer.