1. in an auditorium, there are 21 seats in the first row and 26 seats in the second row. the number of seats in a row continues to increase by 5 with each additional row. (a) write an iterative (explicit) rule to model the sequence formed by the number of seats in each row. show your work. (b) use the rule to determine how many seats are in row 15. show your work. 2. rhonda started a business. her business made $40,000 in profits the first year. her annual profits have increased by an average of 6% each year since then. (a) write an iterative rule to model the sequence formed by the profits of rhonda’s business each year. (b) use the rule to determine what the annual profits of rhonda’s business can be predicted to be 20 years from the start of her business. round your answer to the nearest dollar. do not round until the end. show your work. 3. the sequence 3, 12, 48, 192, … shows the number of pushups kendall did each week, starting with her first week of exercising. (a) what is the recursive rule for the sequence? (b) what is the iterative rule for the sequence?

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?