Find the Unit Rate
A 6-pack of juice boxes costs $3. What is the cost per juice box?
$0.50 per juice box
Meimei makes pancakes with 1 part milk 4 parts flour. Rose Cat used 3 tbsp of milk and 12 tbsp of flour. Is the relationship between the two recipes proportional?
Yes
1:4=3:12
Graphs and Tables 100
$12
$24
$36
$48
In the equation y=kx, what does k represent?
The constant of proportionality.
The wait time for the roller coaster is 20 minutes when 170 people are in line.
How long is the wait time with 250 people are in line.
about 29 minutes
Will paints one side of his house. He paints 45 square feet in 90 minutes. How many square feet can he paint per hour?
30 square feet per hour
A 7-mile taxi ride costs $35. A 5-mile taxi ride costs $24. Is this relationship proportional? If not, what should a 5-mile taxi ride cost?
Nonproportional
It should cost $25
Determine from the table whether or not the relationship is proportional
Nonprop.
An airplane travels 780 miles in 4 hours. The equation y=195x models the situation.
What is the constant of proportionality?
195
Leo bought 8 bottles of water for $13.52. Assume the relationship is proportional. How much can he expect to pay for 12 bottles?
$20.28
Audrey jogs (5/6) mile in 20 minutes. What is her average speed in miles per hour?
2.5 miles per hour
A caterpillar moves 4 cm per day. A slug moves 30 cm in a week. Are these proportional?
No
4:1 and 4.29:1 are nonprop.
Determine whether or not the graph is proportional. Explain.
Proportional.
Straight line through the origin
Charlie is in charge of the 120,000-gallon swimming pool. Every summer he drains the pool. Charlie can fill 500 gallons of water in 5 minutes.
Write an equation y=kx to represent the realtionship between total number of gallons y and time x.
How long will it take to totally fill the pool again?
y=100x
1,200 minutes or 20 hours
At a blood drive, the ratio of Type A and Type B blood donors was 37:43. There were a total of 300 donors.
About how many were Type A?
About 139 donors
The average sneeze can travel (3/100) mile in 5 seconds. At this rate, how far can it travel in one minute?
0.36 or (9/25) miles
It costs $4 to buy 2 notebooks. Assuming the relationship between cost and notebooks is proportional, how many notebooks can Leo buy with $50?
25 notebooks
Determine whether the graph is proportional or not. Explain.
Nonprop.
Does not go through the origin
Louie used 9 cups of water to make 6 loaves of bread.
Write an equation to model the total number of cups of water needed y for making x loaves of bread.
How many cups of water are needed to make 7 loaves of bread?
y=1.5x
10.5 cups
The ratio of boys to girls in the class is 2:3. How many boys are in the school if there are 345 students?
207 boys
Miles hikes (9/10) of a mile in 18 minutes. If the trail in 2 miles long, how long will it take him to complete his hike?
40 minutes
Jude buys 6 hot dogs for $15. How many hot dogs can be buy with $87.50?
35 hot dogs
Determine the constant of proportionality from the graph and what it means in reference to the graph.
k=5
Every second, you move 5 miles.
On average, Sophia makes 13 out of 21 free throws. Assuming the relationship is proportional, how many more free throws is she likely to make if she shoots 200 times.
about 110 free throws.
Izzy types 4 pages in the same amount of time it takes Luke to type 7 pages. If Izzy and Luke start typing at the same time and the relationship is proportional, how many pages will Luke have types when Izzy types 20?
35 pages