Unit rates
A cyclist travels 24 miles in 3 hours. What is the cyclist’s speed in miles per hour?
What is 8 miles per hour?
Complete the equivalent ratio: 2:5 = 6:x
What is 15?
The equation is y = 4x. What is the constant of proportionality?
What is 4?
A proportional relationship has the point (1, 7) on its graph. What is the unit rate?
What is 7?
Approximately how tall is the eiffel tower?
1,083 feet tall
Six notebooks cost $9. What is the cost per notebook?
What is $1.50 per notebook?
Solve for x:
x/8 = 3/4
What is 6?
A table shows x values of 2 and 5 and y values of 10 and 25. What is the constant of proportionality k in y = kx?
What is 5?
A table has the pairs (1, 3), (2, 6), and (4, 12). What is the constant of proportionality?
What is 3?
Miss Fritz graduated high school in what year?
2022
A faucet fills 18 liters in 4 minutes. What is the unit rate in liters per minute?
What is 4.5 liters per minute?
A map uses a scale of 1 inch to 12 miles. How many miles does 3.5 inches represent?
What is 42 miles?
A proportional relationship includes the point (3, 18). What is its constant of proportionality?
What is 6?
Does a line through (0, 0) and (4, 10) represent a proportional relationship? If so, what is its unit rate?
Yes; what is a unit rate of 2.5?
The statue of liberty was a gift from what country?
France
A car travels 150 miles using 5 gallons of gas. What is its fuel efficiency in miles per gallon?
What is 30 miles per gallon?
Solve for x:
7/9 = 21/x
What is 27?
A proportional relationship is represented by y = 0.6x. What is y when x = 15?
What is 9?
A table shows x = 2, 4, 6 and y = 8, 16, 25. Is the relationship proportional? Explain using the unit rates.
No. The unit rates are 4, 4, and approximately 4.17, so they are not all equal.
Miss Fritz's favorite Star Wars movie is...
Revenge of the Sith
A recipe uses 3/4 cup of oats for 1/2 batch. How many cups of oats are used per batch?
What is 1.5 cups per batch?
Five tickets cost $42.50. At the same price per ticket, how much do 8 tickets cost?
What is $68?
A proportional relationship has y = 14 when x = 2. What is its equation in the form y = kx?
What is y = 7x?
A graph of a proportional relationship passes through (0, 0) and (5, 12). What is the equation of the relationship?
What is y = (12)/5x?
Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its destination in 32 minutes. Car B travels 12 miles farther than Car A. How fast do the cars travel?
They both travel 48 mph