PLEASE TYPE THE EXPLANATIONS!!!

1.

(07.01) Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Explain to Jeff how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 25. (10 points)

2.

(07.01) Arthur has decided to start saving for a new computer. His money is currently in a piggy bank at home, modeled by the function s(x) = 85. He was told that he could do the laundry for the house and his allowance would be a(x) = 10(x 1), where x is measured in weeks. Explain to Arthur how he can create a function that combines the two, and describe any simplification that can be done. (10 points)

3.

(07.02) Brian has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.17 times as many villagers as he had in the town before. The game gave Brian 8 villagers to start with. Explain to Brian how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 16th town. (10 points)

4.

(07.02) Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)^x1. Explain how Christina can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $103. Justify your reasoning. (10 points)