1.2 Review #2
h ≥ 48
The statement below is posted in front of the roller coaster ride at the Wadsworth County Fairgrounds. "All riders must be at least 48 inches tall." If "h" represents the height of a rider in inches, what is the correct translation of the statement on this sign?
170x + 99y > 800
A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $800 in political contributions. Family tickets cost $170 while single tickets cost $99. Write an inequality to represent the situation.
75d + 30c ≥ 255
An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of a least $255.00 from its sales of DVD players and cordless phones. What inequality describes this situation?
53x + 18y < 170
Dina is sewing some clothing. She has just under 170 yards of fabric to use. She uses 53 yards of fabric to make a long-sleeved shirt and 18 yards of fabric to make a short-sleeved shirt. Write an inequality to represent the situation.
53x + 18y ≤ 170
During a special sale, all video games cost $53 and all movies cost $18. Bob plans to spend some or all of his $170 in birthday money on these movies and video games. Write an inequality to represent the situation.
x + 5y > 54
Jenny is selling cups of lemonade at a stand outside her house. She has enough supplies on hand to make at least 54 ounces of lemonade. A small cup holds 1 ounce of lemonade and a regular cup holds 5 ounces. Write an inequality to represent the situation.
170x + 99y < 800
Maggie is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $800. A band can play for part of the time at an hourly rate of $170, and a DJ can play for the remaining time at an hourly rate of $99. Write an inequality to represent the situation.
x + 5y ≤ 54
Michael is building a shelving unit to hold all of his shoes. A pair of work shoes takes up 1 square foot of space, and a pair of boots occupies 5 square feet. The total amount of shelving space taken up by all the shoes can be at most 54 square feet. Write an inequality to represent the situation.
26x + 15y ≥ 1400
The Furry Friends Hotel, a kennel in Silvergrove, needs to bring in at least $1,400 per day to cover its operating costs. The kennel charges $26 per day to house a large dog and $15 per day to house a small dog. Write an inequality to represent the situation.