Practice Problems

  1. Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.

    A first quadrant coordinate plane. The horizontal axis is from zero to forty-five with a scale of five and is titled Seconds

    What does the \(x\)-intercept represent in this context

    Choose 1 answer:

    1. The number of pages already printed when Beatrice sent the job
    2. The number of seconds that passed before the printer started printing pages
    3. The number of pages printed per second

    4. None of the above

  2. An observation point was originally in line with the top of a waterfall, but the waterfall moves a constant distance each year from erosion. The following graph shows the relationship between the time since ‍1998 and the distance the top of the waterfall is from the observation point. Negative years represent time before 1998.

    The first and second quadrants of a coordinate plane. The horizontal axis is from negative ten to twenty with a scale of five

    What feature of the graph represents the distance from the observation point in 2003?

    Choose 1 answer:

    1. Slope
    2. \(x\)-intercept
    3. \(y\)-intercept

    4. None of the above

  3. Madhavi scoops a bowlful of cereal out of a container that has a mix of oat and wheat cereal pieces. She graphed the relationship between the possible masses of oat and wheat cereal in her bowl.

    A first quadrant coordinate plane. The horizontal axis is from zero to sixty with a scale of five and is titled Mass of wheat

    What does the \(y\)-intercept represent in this context?

    Choose 1 answer:

    1. The mass of the cereal if it is all oat pieces
    2. The mass per piece of wheat cereal
    3. The mass per piece of oat cereal

    4. None of the above

  4. Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil remaining.

    A first quadrant coordinate plane. The horizontal axis is from zero to forty with a scale of five and is titled Duration in h

    What feature of the graph represents how long Nirmala can use the lamp before it runs out of oil?

    Choose 1 answer:

    1. Slope
    2. \(x\)-intercept
    3. \(y\)-intercept
    4. None of the above

Source: Khan Academy, https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:applying-intercepts-and-slope/e/using-slope-intercepts
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