A.2.22 Practice Problems

To qualify for a loan from a bank, the total in someone’s checking and savings accounts together must be $500 or more.[br][br]a. Which of these inequalities best represents this situation?
b. Complete the graph so that it represents solutions to an inequality representing this situation.[br][br][img]data:image/png;base64,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[/img]
The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120.[br][br]a. Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.
b. Graph the solution set to the inequality (from above) on the coordinate plane below.
c. Explain how we could check if the boundary is included or excluded from the solution region.
Tickets to the aquarium are $11 for adults and $6 for children. An after-school program has a budget of $200 for a trip to the aquarium.[br]               [br]If the boundary line in each graph represents the equation 11x + 6y = 200, which graph represents the cost constraint in this situation?
Tyler filled a small jar with quarters and dimes and donated it to his school's charity club. The club member receiving the jar asked, "Do you happen to know how much is in the jar?" Tyler said, "I know it's at least $8.50, but I don't know the exact amount."[br][br]a. Write an inequality to represent the relationship between the number of dimes, d, the number of quarters, q, and the dollar amount of the money in the jar.
b. Graph the solution set to the inequality and explain what a solution means in this situation.
c. Suppose Tyler knew there are 25 dimes in the jar. Write an inequality that represents how many quarters could be in the jar.
Here is a graph of the equation 6x + 2y = -8.[br][br][img]data:image/png;base64,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[/img][br][br]a. Are the points (1.5, -4) and (0, -4) solutions to the equation? Explain or show how you know.
b. Check if each of these points is a solution to the inequality 6x + 2y [u]<[/u] -8:[br] i. (-2, 2)[br]ii. (4, -2)[br]iii. (0, 0)[br]iv. (-4, -4)
c. Are the points on the line included in the solution region? Explain how you know.
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Information: A.2.22 Practice Problems