Ratios and Rates
There are 3 pairs of socks in a value pack. The value pack costs $9. How much does 1 pair of socks cost, in dollars?
What is $3?
The weight of an object on Earth varies directly as the weight of that object on the moon. If a 150- lb object would weigh 24 lbs on the moon, how much would a 95-lb object weigh on the moon?
What is 15.2 lbs.?
Sally, Kim, Tommy, and Jason went out to dinner. They decided to split the bill evenly and leave a 20% tip. If the bill was $70.00 without the tip, how much did each person pay including the tip?
What is $21 dollars?
Suppose y varies directly as x, and y=36 when x=4. Find y when x=11.
What is 99?
Ryan went out to dinner with his three friends. The bill was $255. How much would each person pay if they decided to leave a 20% tip?
What is $76.50?
Joshua took a bus from Orlando to Atlanta. The bus traveled 420 miles in 6 hours. What was the average speed of the bus in miles per hour?
What is 70 miles per hour?
Maria made a scaled drawing of her dog. She used a scale of 2 in. = 1 foot. If Maria’s dog is 3 2/3 feet long, what is the length of her dog on her scaled drawing?
What is 7 1/3 in.?
Find 16% of 125
Your distance from a lightning strike varies directly as the time it takes for you to hear thunder. If you hear thunder 10 seconds after you see lightning, you are about 2 miles away from the lightning. Write a direct variation expression for the relationship between time and distance.
What is d = 1/5t?
Jackie went to a store to buy a new phone. The phone costs $650. She had a coupon for 15% off and then needed to pay a 7% sales tax. How much did Jackie pay for her new phone?
What is $591.18?
Daria can type 2/3 of a page in 1/6 hour. What is her unit rate for typing in pages per hour?
What is 4 pages per hour?
Find n:
75/125 = n/40
n=24
June is buying a Jacket, that has been marked down 35% off of the original price. If the original price was $130, find the sale price?
What is $84.50?
Suppose y varies directly as x, and y=9 when x=3/2. Find y when x is 1.
What is 6?
Kimberly is buying a jacket. The price of the jacket is $150, she has a cupon for $25 off and has to pay a sales tax of 7%. How much did Kimberly pay for her jacket?
What is $133.75?
Walmart sells a case of 24 cans of Diet Coke for $6.88. Kroger sells a 12 pack of Diet Coke for $3.39. Which is the best buy?
What is Kroger? If you round to the nearest penny, Kroger is cheaper by 1 cent per can.
How can you tell if a table is a proportional relationship?
What is determine if the ratios in the table are equivalent.
After 6% tax, a new pocketbook cost Sarah $27.55. What was the original cost of the pocketbook?
What is 25.99?
How do you know if a graph is a proportional relationship?
What is it is a straight line that passes through the origin (0,0)?
Last season a basketball player shot the ball 260 times. He 3/5 of the shots he made were 2 pointers. He missed 20% of his shots. The rest were 3 pointers. How many 3 pointers did he make?
What is 52?
Mr. Hodge ran a half marathon 12 1/2 miles. If it took him 3 1/2 hours to complete the race, how long did it take him to complete each mile?
What is 7/25 of an hour?
Ansley is making a bottle for her baby. She uses 1/4 cup of powdered formula for every 5/6 cup of water. How much powdered formula will Ansley use for each cup of water?
What is 3/10 cup of formula?
Carter bought a Captain Hook boat on sale 25% off for $28.50. What was the original price of the boat?
What is $38?
The number of gallons g of fuel used on a trip varies directly as the number of miles m traveled. If a trip of 270 miles requires 12 gallons of fuel, how much fuel would be required for 400 miles?
What is 17.8 gallons?
Marcos earned $300 mowing lawns this month. Of his earnings, he plans to spend 18% repairing lawn equipment, put 20% in his savings, and use 35% for camp fees. He will spend the rest. How much will Marcos have left to spend?
What is $81?