(06.01) Three friends went to the fair. Michelle ate three h…

(06.01) Three friends went to the fair. Michelle ate three hot dogs, one pretzel, and two snow cones. She spent $25. Amanda ate two hot dogs, three pretzels, and three snow cones. She spent $30. Lucas ate two hot dogs, two pretzels, and four snow cones. He spent $25. Which system of equations matches the friends’ night at the fair?

(07.02) Brian has been playing a game where he can create to…

(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.

(07.02) Tommy has $350 of his graduation gift money saved at…

(07.02) Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.