1)Population in a Small Town, USA was 587 in 1970. The populations increased by 3% annually. Show and explain all work. a. Write the exponential growth function to represent this function. b. What will the population be in 2022? Round your answer to the nearest person

2)Graph the following exponential function. Show work in how you find the y intercept, talk about the end behavior, and state if it is a growth or decay function.

3)A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd row . How many seats are there in total? Show and explain all work.

4)Consider the sequence {5,10,15,20,...}. Find n if a_n = 4875. Show all steps including the formulas used to calculate your answer.

5)Congratulations! You won a contest sponsored by a local radio station. If you were given the choice of the two payment plans listed below, which plan will pay you more? How much more? Be sure to show all evidence including formulas used for calculations. A. $1 on the first day, $2 on the second day $3 on the third day etc. for 4 weeks. B. $0.01 on the first day , $0.02 on the second day , $0.04 on the third day etc.. For 4 weeks.

6)The scores on a test are normally distributed, with a mean of 82 and standard deviation of 8. What percent of scores are greater than 90? Explain your answer.