Inequalities in the Real World Answers
The weight limit of an elevator is 2,200 pounds. Michelle is solving an inequality to determine how many 40-pound boxes she can safely bring in the elevator with her if she weighs 110 pounds and has a 10-pound push cart. When the solution to the inequality is graphed on a number line, which statements best describe the graph? Select three options.
A landscaper earns $30 for each lawn her company mows, but she pays $210 per day in salary to her employees. If her company made more than $150 profit from mowing lawns in a 7-day week, what are the possible numbers of lawns the company could have mowed? Select two options.
Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?
An amusement park offers ride tickets for $1.50 each to customers who buy the quantities of tickets indicated in the graph below.Which statement is best supported by the graph?
Pat’s Pizza Place sells large pies for $12 with a charge of $2 for each topping. If Reagan only has a $20 bill to spend on a pizza, which graph best represents the number of toppings she can afford to add to her pie?
Myra wants to save at least $500 by the end of her summer vacation. She currently has $350 saved. She can earn $25 cutting a lawn in her neighborhood. Myra solves an inequality to determine the least number of lawns, n, she must cut to reach her goal.What number is the minimum number of lawns Myra needs to mow to meet her goal?
Nikki had a $50 gift card for her favorite store. She used the gift card to buy 4 DVDs and still had money available on the card after the purchase. If the DVDs were all the same price, which inequality best represents the possible price of each DVD?
Mary wants to fence in a rectangular run for her dogs. She has decided that the run will be 5 yards wide. Which statement best describes the possible lengths of the run if she can use no more than 40 yards of fencing?
Sara is taking a test made up of multiple-choice and open-ended questions. The multiple-choice questions have a value of 4 points each, and the open-ended questions have a value of 5 points each. If Sara has already answered 10 multiple-choice questions correctly, which inequality best describes the amount of open-ended questions Sara must answer correctly to earn more than 70 points?
A grocer pays $7.00 for each carton of 14 cantaloupes. Which inequality describes p, the set of prices, in dollars, that he can charge for each cantaloupe to make more than $1.00 profit on each one?
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