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2.09 Quiz Applications Of Inequalities

Question: The length of a rectangle is four times its width. The perimeter of the rectangle is at most 130 cm.

Which inequality models the relationship between the width and the perimeter of the rectangle?

Answer: 2w+2⋅(4w)≤130

Question: Which inequality models this problem?

Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales.

What is the minimum number of weeks it will take for Josephine to make a profit?

Answer: 550w>4500+200w

Question: Ron is five years older than twice his cousin Pat’s age. The sum of their ages is less than 35.

What is the greatest age that Pat could be?

Answer: 9

Question: The sum of two consecutive integers is no more than 209.

What is the larger of the two integers?

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Answer: 105

Question: To get on the top players’ list, Don needs to have a minimum average score of 225 after playing four games. His scores on his first three games were 192, 214, and 250.

What is the minimum score Don needs to earn on his fourth game?

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Answer: 244