Proportional Relationships
A graph represents a proportional relationship. What two features must the graph have?
Answer: What is the origin and a straight line?
In the equation y = 3x, what is k?
Answer: What is 3?
Write the equation for a proportional relationship with a constant of proportionality of 4.
Answer: What is y = 4x?
Use 1 mile ≈ 1.6 km. Convert 5 miles to kilometers.
Answer: What is 8 km?
A smoothie recipe uses 2 cups yogurt for every 5 cups fruit. How many cups of fruit are needed for 4 cups yogurt?
Answer: What is 10 cups?
A diver is 18 feet below sea level. Which integer represents the diver's position?
Answer: What is -18?
A table shows: 2 → 8, 4 → 16, and 6 → 24
Is the relationship proportional?
Answer: What is yes?
A printer prints 180 pages in 4 minutes. Find the constant of proportionality.
Answer: What is 45 pages per minute?
What point must every proportional graph contain?
Answer: What is (0,0)?
Convert 8 km to miles.
Answer: What is 5 miles?
Three notebooks cost $9. How much do 8 notebooks cost?
Answer: What is $24?
Write 5/8 as a decimal.
Answer: What is 0.625?
A table shows: 3 → 5, 6 → 10, and 9 → 15
What is the constant ratio?
Answer: What is 5/3?
A recipe uses 3 cups of rice for 12 servings. Find the constant of proportionality relating cups of rice to servings.
Answer: What is 0.25?
The equation is y = 9x. What is y when x = 4?
Answer: What is 36?
Emma bikes 3.2 miles. About how many kilometers is that?
Answer: What is 5.12 km?
Six movie tickets cost $54. What is the cost of 10 tickets?
Answer: What is $90?
Sean starts with 15 points in a game. He loses 8 points and then loses 12 more points. What is his final score?
Answer: What is -5?
A table shows: 4 → 8, 8 → 17, and 12 → 24
Is the relationship proportional?
Answer: What is no?
A machine fills 200 bottles in 15 seconds. Find the constant of proportionality.
Answer: What is 13.33 bottles per second?
Tickets cost $9 each. Write an equation relating ticket cost y to number of tickets x.
Answer: What is y = 9x?
A map scale is 1 inch = 10 miles. How many miles does 7 inches represent?
Answer: What is 70 miles?
A worker earns $24 for 4 hours. How much does the worker earn in 9 hours?
Answer: What is $54?
A volleyball drops 9 meters and then bounces up 3 meters. Use the expression ∣−9 - 3∣ to find the total distance traveled.
Answer: What is 12 meters?
Explain how you can tell if a table represents a proportional relationship.
Answer: What is all equivalent ratios have the same unit rate/constant of proportionality?
A printer produces 540 pages in 12 minutes. What is the constant of proportionality that relates pages printed to minutes? Write your answer in y = kx form.
Answer: What is y = 45x?
The point (6,54) lies on a proportional graph. Write the equation.
Answer: What is y = 9x?
A map scale is 2 inches = 15 miles. A route measures 10 inches. How many actual miles is it?
Answer: What is 75 miles?
A machine fills 800 bottles in 60 seconds. How many bottles will it fill in 90 seconds?
Answer: What is 1,200 bottles?
Evaluate the expression:
(-2)^3 + 14 divide (-7)
Answer: What is -10?