Rates / Proportions
27 to 9 and 9 to 3 are proportional.
Yes, they are proportional.
Are these two fractions proportional?
5/12 and 15/48
No, they are not proportional.
Casey ate x ounces of donuts. Mark ate
2/5
ounces more than Casey.
Draw a tape diagram to represent the situation and two equations with fractions to match.
y=x+2/5x and y = 7/5x
If there are 70 gallons of lemonade in 7 batches, how many gallons are in 1 batch of lemonade?
There are 10 gallons in 1 batch of lemonade.
A car drove 25.5 miles in 0.5 hours. How fast was the car traveling in miles per hour?
At that rate, how long did it take the car to travel 943.5 miles?
It will take 18.5 hours.
Parker saved x dollars from babysitting. Jessica saved
3/10
more than Parker.
Draw a tape diagram to represent the situation and two equations with fractions to match.
y=x+3/10x and y = 13/10x
A baseball field measures 148 yards long and 120 yards wide. A model of the field measures 37 yards long by 30 yards wide. Is this model proportional? Show your work to prove your answer.
Yes - COP is 1.23 or divide by 4.
Carson is helping her friends make bracelets. Each friend gets gets 3 3/4 cup of beads. Carson had 15 cups of beads. How many friends is Carson helping make bracelets?
Carson is helping 4 friends.
Jay swam x laps. Ross swam 2/5 less laps than Jay.
Draw a tape diagram to represent the situation and two equations using decimals to match.
y=x-0.4x or y=0.6x
8 ounces of Kool-Aid contains 95 calories. 10 ounces of Tang contains 98 calories. Are the amounts of calories per ounce proportional?
No, they are not proportional.
A baker sells brownies for a bake sale and uses the equation c=12.5b to figure the total cost, c, for every pound of brownies, b.
How much does one pound of brownies cost?
How much would it cost for 5.2 pounds?
It would cost $65 for 5.2 pounds of brownies.
Alexis ate x ounces of Hot Cheetos. Megan ate
1/3 more ounces of Hot Cheetos.
Draw a tape diagram to represent the situation and two equations with decimals to match.
y=x+0.3x or y=1.3x