9th grade, algebra 2 honors
linear functions. systems of linear equalities.

me with these 4 problems.

1. wruf 103.7 fm is giving away tickets to a concert. tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. tim wants to give away at least 25 tickets, but he has a budget constraint of $1000.

part a: write a system of 2 inequalities that describes this situation. *make sure to define variables.*
part b: graph the system to show all possible outcomes.
part c: write 1 possible solution to the problem in sentence form.

2. suppose you are buying 2 kinds of chips for a party. each bag of potato chips costs $2.50 and each bag of corn chips costs $2.90. you must have at least 100 bags of chips for the party and the cost of the chips can be no more than $350.

part a: write a system of 2 inequalities that describes this situation. *make sure to define variables.*
part b: graph the system to show all possible outcomes.
part c: write 1 possible solution to the problem in sentence form.

3. wet n' dry camp provides water-based activities and ground sports activities for a maximum of 80 campers. there should be a minimum of 8 campers doing water-based activities and a minimum of 5 campers doing ground sports activities.

part a: write a system of 3 inequalities that describes this situation. *make sure to define variables.*
part b: graph the system to show all possible outcomes.
part c: write 1 possible solution to the problem in sentence form.

4. upperloaf bakery is baking loaves of corn bread and poppy-seed blueberry cake. the recipe for 1 loaf of corn bread calls for 2 1/4 cups of flour and 1 1/4 teaspoon of baking soda. one loaf of poppy-seed blueberry cake requires 1 3/4 cups of flour and 2 1/8 teaspoons of baking soda. the bakery has 28 cups of flour and 30 teaspoons of baking soda in stock

part a: write a system of 2 equations to model loaves of bread and cake that can be baked. *make sure to define variables.*
part b: graph the inequalities that represent how many loaves of each type of bread and cake the bakers can make.
part c: write 3 possible combinations of corn bread and poppy-seed blueberry cake that the bakery can make based on their current supply of flour and baking soda.