MathAlgebraMedium frequency

SAT Math: Interpreting the x-intercept in Context

27+ practice questions in Praczo

What you need to know

The concept, explained

  • 1

    The x-intercept occurs when y = 0.

  • 2

    In a word problem, ask yourself: what does the y-axis represent? Set that concept to zero.

  • 3

    If y is profit, the x-intercept is when you break even ($0 profit).

  • 4

    If y is height, the x-intercept is when the object hits the ground (0 height).

  • 5

    If y is fuel remaining, the x-intercept is when the tank runs completely empty.

Common mistakes
  • Confusing the meaning of the x-intercept (y=0) with the y-intercept (x=0).
Try a sample question

SAT-style practice

A hot air balloon's altitude A (in feet) after m minutes is given by A = -20m + 800. What does the x-intercept of this graph represent?

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