Student council expects $150 students for a dance and spends $10 on food for each student. The council expects the number of students to increase by 8% each year for the next 5 years and wants to reduce the amount of money spent on food by 4% for each student each year.

Use the drop-down menus to choose or create functions to model:

A. The predicted number of students over time, S(t)

B. The predicted amount spent per student over time, A(t)

C. The predicted total expense for food each year over time, E(t)

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?