AlgebraVery hardInput where a decreasing linear function turns negative
Algebra practice question
For the linear function f, f(3) = 5 and f(8) = −5. For what value of x is f(x) = 0?
Answer: 5.5 or 11/2
The slope is −10/5 = −2, so f(x) = 11 − 2x, which is 0 at x = 5.5.
Common wrong answers
- If you answered 5
- 5 averages 3 and 8 incorrectly for this function; check 11 − 10 = 1.
- If you answered 11
- 11 is f(0).
- If you answered -2
- −2 is the slope.
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