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Data Interpretation and Word Problems Flashcards

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

Read the first 6 Data Interpretation and Word Problems flashcards as text

  1. A table shows data: x: 1, 2, 3, 4 and y: 5, 10, 15, 20. Which equation represents this relationship?

    Answer: y = 5x

    For every unit increase in x, y increases by 5, and when x = 1, y = 5, confirming y = 5x.

  2. A box contains 20 items: 8 defective and 12 good. If 2 are randomly tested, what is the probability both are good (without replacement)?

    Answer: 66/190

    P = (12/20) × (11/19) = 132/380 = 66/190.

  3. Tom is 3 times as old as his sister. In 4 years, he will be twice her age. How old is Tom now?

    Answer: 12

    If sister is s, Tom is 3s; in 4 years: 3s+4 = 2(s+4), giving s = 4, so Tom is 12.

  4. A scatterplot shows a positive correlation. This means:

    Answer: As x increases, y tends to increase

    A positive correlation means both variables tend to move in the same direction.

  5. A store sold 120 items last month. This month sales decreased by 15%. How many items were sold this month?

    Answer: 102

    Decrease = 15% of 120 = 18; items sold = 120 − 18 = 102.

  6. Two workers together can finish a task in 6 hours. Worker A alone takes 10 hours. How long does Worker B alone take?

    Answer: 15 hours

    Combined rate = 1/6; A's rate = 1/10; B's rate = 1/6 − 1/10 = 5/30 − 3/30 = 2/30 = 1/15, so B takes 15 hours.