Unit Rates with Decimals
What is the unit rate for a car that travels 180 miles in 3 hours?
60 mph
If 3/4 of a pizza is shared among 3 friends, how much pizza does each friend get?
Are the ratios 2:3 and 4:6 equivalent? Explain why or why not.
Yes, 4:6 simplifies to 2:3
What is the constant of proportionality in the relationship (y = 3x)
3
What does it mean if a graph shows a straight line that passes through the origin?
A straight line passing through the origin represents a direct and proportional linear relationship.
If a recipe calls for 2.5 cups of flour to make 5 cookies, what is the unit rate of flour per cookie?
2 cups
A cyclist travels 2/3 mile in 1/4 hour. What is the unit rate in miles per hour?
2 2/3 mph
If the ratio of cats to dogs is 3:5, how many cats are there if there are 15 dogs?
9 cats
If a table shows that 5 apples cost $3, what is the constant of proportionality?
If a point on a graph is (4, 8), does this indicate a proportional relationship? Why or why not?
Yes, the point (4,8) indicates a proportional relationship.
A store sells 4.5 pounds of apples for $13.50. What is the cost per pound?
If a tank can hold 5/6 gallon of water and is filled with 1/2 gallon, how much more water can it contain?
1 2/3
Given the ratio of 6:9, what is an equivalent ratio if both sides are multiplied by 2?
12:18
Write an equation representing a proportional relationship where the constant of proportionality is 4.
y=4x
How can you identify the constant of proportionality from a graph?
To do this, choose any point (x,y) on the line (other than the origin) and divide the y-coordinate by the x-coordinate: k =y/x
If you earn $12.75 for 3 hours of work, how much do you earn per hour?
$4.25
A recipe uses 3/5 cup of sugar for a batch of cookies. How much sugar is used for 10 batches?
3/50
If two quantities are in the ratio of 1:4, and one quantity is 20, what is the other quantity?
5
If a car travels 60 miles in 1 hour, what is the constant of proportionality for distance and time?
60
When looking at a graph, what indicates that two quantities are not proportional?
The line does not pass through the origin or the graph is not a straight line
A car uses 7.2 gallons of gas to travel 216 miles. What is the unit rate of miles per gallon?
30
If 1/2 of a yard of fabric costs $4.50, what is the cost of 1 yard?
$9.00
How can you determine if two ratios, 12:16 and 9:12, are equivalent?
Yes, 3:4
How do you find the constant of proportionality from a graph that shows a straight line through the origin?
Find the slope
Describe the steps to graph a proportional relationship given the equation (y = 2x).