Connect Ratios, Rates, & Unit Rates
A package of 7 pairs of gloves costs $24.99. What is the cost of a single pair of gloves?
$3.57 per 1 pair of gloves
Find the unit rate.
2(1/10) miles per 1 hour
What is a proportion?
An equation that represents equal ratios
William buys 4 gallons of gas for $14.12. Later in the week he buys 9 gallons of gas. How much will William pay for the 9 gallons of gas?
$31.77 per 9 gallons of gas
Find the unit rate.
975 ft2 per 1 hour
BONUS: If Reagan can sell 8 books for $24, how many books could she sell for $96?
B=32
BONUS: Joseph can run 7.5 miles in 1.5 hours. His friend Avani can run 4 miles in 45 minutes, or 0.75 hours. Who runs slower?
Joseph: 5 miles per 1 hour
Avani: 5.3 miles per 1 hour
Joseph runs slower
Claire boarded an airplane in Richmond, VA, and flew 414 miles directly to Charleston, SC. The total flight time was 3/4 hours. How fast did Claire’s airplane fly in miles per hour?
552 miles per 1 hour
The side length of one rectangle is 4 and the perimeter is 20. The side length of another rectangle is 2 and the perimeter is 10. Is the relationship between these two rectangles proportional?
4(10) = 2(20)
40 = 40
Yes, the relationship between the two rectangles is proportional.
Shankeeka needs to buy flour for her cake recipe. She wants to buy the flour with the lowest cost per ounce. If an 18 ounce bag of flour costs $6.24, and a 12 ounce bag costs $4.99, which bag of flour should she buy?
The 18 ounce bag is cheaper per 1 ounce
BONUS: Jasmine buys two packages of strawberries. The first package costs $11.25 for ⅔ lb. The second package costs $7.99 for ½ lb. Which strawberries cost less per pound?
The second package costs less per 1 pound
Determine whether the two rates form a proportion.
$36 for 6 shirts; $30 for 5 shirts
36(5) = 6(30)
180 = 180
Yes, the two rates are proportional.
Maria and Marcus are making pizza rolls for a party. In 10 minutes Maria can make 6 pizza rolls. In 13 minutes Marcus can make 9 pizza rolls. If they each make 36 pizza rolls, who will finish first?
Maria: 60 minutes per 36 pizza rolls
Marcus: 52 minutes per 36 pizza rolls
Dakota is baking shortbread for a bake sale. The recipe calls for 1 1/4 cups of flour and 1/2 stick of butter. How many cups of flour will Dakota need if he uses 3 sticks of butter?
7.5 cups of flour per 3 sticks of butter
In the average classroom, the ratio of students that prefer history over english is 7 to 5. There are 35 students that prefer History. Write and solve a proportion to find the number E of students that prefer English.
E = 25