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Mathematical: Ratios and Proportional Relationships Flashcards

7 cards from real FAST practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematical: Ratios and Proportional Relationships flashcards as text
  1. The graph of a proportional relationship is a straight line that must always pass through which point?

    Answer: The origin (0, 0)

    A proportional relationship has the equation y = kx, so when x = 0, y = 0, meaning it always passes through the origin.

  2. A train travels 240 miles in 4 hours. How long will it take the same train to travel 360 miles at the same speed?

    Answer: 6 hours

    Speed = 240 ÷ 4 = 60 mph; time = 360 ÷ 60 = 6 hours.

  3. In a survey, 45 out of 60 students preferred science over art. What percentage of students preferred science?

    Answer: 75%

    45 ÷ 60 = 0.75 = 75%.

  4. A price increased from $40 to $50. What is the percent increase?

    Answer: 25%

    ($50 minus $40) ÷ $40 = $10 ÷ $40 = 0.25 = 25%.

  5. What is the constant of proportionality in the equation y = 7x?

    Answer: 7

    In y = kx, k is the constant of proportionality; here k = 7.

  6. A car uses 5 gallons of gas to travel 150 miles. How many miles can it travel on 8 gallons at the same rate?

    Answer: 240 miles

    The rate is 150 ÷ 5 = 30 miles per gallon; 8 × 30 = 240 miles.

  7. Two ratios form a proportion when which condition is true?

    Answer: Their cross products are equal

    Two ratios a/b = c/d form a proportion when the cross products ad = bc are equal.