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Lesson 49: Solving Rate Problems with Proportions and Equations — Practice Questions

  1. 1. A car travels at a constant speed of 55 miles per hour. Using the equation $y = kx$, how many miles will the car travel in 4 hours? \n___ miles

  2. 2. A craftsperson makes bracelets at a rate of 6 per hour. Using the equation $y = kx$, how many bracelets can they make in 3 hours?

    • A. 18 bracelets
    • B. 9 bracelets
    • C. 2 bracelets
    • D. 24 bracelets
  3. 3. Apples cost 1.50 dollars per pound. According to the formula $y = kx$, what is the total cost for 10 pounds of apples? \n___ dollars

  4. 4. In the unit rate equation $y = kx$, if $k$ represents the cost per ticket and $x$ represents the number of tickets bought, what does $y$ represent?

    • A. The total cost of the tickets
    • B. The cost per ticket
    • C. The number of tickets
    • D. The time spent at the event
  5. 5. A faucet fills a tub at a constant rate of 4 gallons per minute. Using the equation $y = kx$, how many gallons of water will be in the tub after 25 minutes? \n___ gallons

  6. 6. A car used 12 gallons of gasoline to travel 300 miles. What is the car's fuel efficiency in miles per gallon? ___

  7. 7. Store A sells 4 apples for 3.00 dollars. Store B sells 6 apples for 4.20 dollars. Which store offers a better price per apple?

    • A. Store A, at $0.75 per apple.
    • B. Store B, at $0.70 per apple.
    • C. Store A, at $1.33 per dollar.
    • D. Both stores have the same unit price.
  8. 8. If a recipe for 4 servings requires 6 cups of flour, how many cups of flour are needed for a larger batch of 10 servings? ___

  9. 9. A machine produces 150 widgets in 3 hours. Which equation correctly describes the relationship between the number of widgets produced ($w$) and the time in hours ($h$)?

    • A. $w = 50h$
    • B. $h = 50w$
    • C. $w = 150h$
    • D. $w = \frac{1}{50}h$
  10. 10. A baker uses 4.5 pounds of flour to make 3 loaves of bread. At this rate, how many pounds of flour are needed to make 8 loaves of bread? ___