Algebra C&C

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

What is the slope?

What inequality symbol would you use in this scenario?

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• True

• False

• True

• False

Tasty Yogurt Manufacturing Company makes 15 cents per container of plain yogurt and 10 cents per container of vanilla yogurt. They aim to make a monthly profit of at least $4,200. This month, Tasty expects to sell at least 12,000 cups of plain yogurt (p) and no more than 15,000 cups of vanilla yogurt (v). The inequality applies to the situation.

• True

• False

Tickets for a choir concert cost $5 for students and $8 for adults. The choir director wants to sell at least $1,500 worth of tickets to this concert. She knows that 175 students have purchased a ticket. Enter the minimum number of adults that need to purchase a ticket to raise at least $1,500.

You have two gifts to buy. You plan to spend no more than $80 on the two gifts combined. You want to spend at least twice as much on the first gift as on the second gift. Let x be the amount you spend on the first gift and y be the amount you spend on the second gift. Write both inequalities.

Jaden has no more than $2000 to purchase water bottles and pairs of socks for a fundraiser for his school’s cross-country team. Water bottles cost $4 and socks cost $10. He needs to buy a total of at least 350 items without buying too many of just one item. Which of the following are possible combinations of water bottles and socks he can purchase? (Input 2 inequalities and see what the solutions are.)

• 280 water bottles and 30 socks

• 300 water bottles and 100 socks

• 375 water bottles and 40 socks

• 375 water bottles and -5 socks

Points on a solid boundary line are solutions to the inequality.

• True

• False