Constant of Proportionality
He drove 30 miles (y) on 3 gallons of gas (x). What is the constant of proportionality?
Remember k = y/x
What is k=10
4/6 = x/36 what is x?
What is 24
7/8 = x/67 what is x? Round to the nearest tenth.
What is 58.6
The scale measurement was 1 in = 5 miles. He needs to see how many inches on the map to represent 45 miles?
What is 9 inches
9.2 divided by 1/2
What is 18.4 to 1
There were 4 shirts (x) and they cost $36 (y). What is the constant of proportionality?
Daily Double!!!
Remember k = y/x
What is k = 9
7/9 = 56/x what is x?
What is 72
3/4 = 17/x what is x? Round to the nearest tenth.
What is 22.7
The scale measurement was 2 centimeters = 5 yards. She needs to know how many centimenters on the map to represent 35 yards?
What is 14 centimeters.
Daily Double!!!
There are 1/3 cups of flour in the recipe and 2/3 cups of sugar. What is the unit rate of flour to sugar?
What is 1 1/2 cups of flour to 1 cup of sugar or 1.5 cups of flour to 1 cup of sugar.
There 27 cakes (y) in the bakery 9 people (x) are baking. What is the constant of proportionality?
Remember k = y/x
What is k = 3
5/1 = x/2.7 what is x
What is 13.5
4/5 = x/19 what is x? Round to the nearest tenth.
What is 15.2
The scale measurement was 2.5 in = 8 miles. He needs to know how many inches on the map to represent 32 miles?
What is 10 inches
The students ate 3/4 of the pizza in Room 303 and the students in Room 302 ate 6/7 of their pizza. What is the unit rate of Pizza eaten in 303 to Pizza eaten in Room 302? Round to the nearest hundredth if you are using decimals.
What is 7/8 slices to 1 whole pizza or .88 slices to 1 whole pizza.
Daily Double!!!
She walks 24.5 steps in 3 seconds. What is the constant of proportionality? Round to the nearest hundredth
Remember k = y/x
K = 8.16
7/6 = 84/x what is x
What is 72
2.5 / 4 = x / 21 what is x? Round to the nearest tenth.
What is 13.1
The scale measurement was 3 in = 15 acres. He needs to know how many inches on the map to represent 60 acres?
What is 12 inches
Jogger A jogged 1/2 mile and Jogger B jogged 5/6 miles. What is the unit rate of Jogger B to Jogger A? Round to the nearest hundredth if solved in decimals.
What is 1 2/3 miles to 1 mile or 1.67 miles to 1 mile
There is 5 fishermen (x) and 28 fish (y) are in the net. What is the constant of proportionality? Round to the nearest tenth.
Remember k = y/x
What is k=5.6
9/2 = x/5 what is x?
What is 2.5
5.6 / 7 = 19 / x what is x? Round to the nearest tenth.
What is 23.8
The scale measurement was 7.5 centimeters = 2 kilometers. She needs to know how many centimeters on the map to represent 8 kilometers?
What is 30 centimeters
Swimmer A swam 8/9 lengths of the pool and swimmer B swim 6 lengths of the pool. What is the unit rate of Swimmer B to Swimmer A. Round to the nearest hundredth if using decimals.
What is 6 3/4 to 1 length of the pool or 6.75 to 1 length of the pool.