AlgebraMediumReading a linear function's rate from two outputs
Algebra practice question
For a linear function f, f(2) = 11 and f(6) = 3. Which statement is true?
- A. f decreases by 2 for each increase of 1 in x.Correct
- B. f increases by 2 for each increase of 1 in x.
- C. f decreases by 8 for each increase of 1 in x.
- D. f decreases by 4 for each increase of 1 in x.
Answer: A. f decreases by 2 for each increase of 1 in x.
Slope: (3 − 11)/(6 − 2) = −8/4 = −2.
Why the other answers are wrong
- B. f increases by 2 for each increase of 1 in x.
- f falls from 11 to 3, so the slope is negative.
- C. f decreases by 8 for each increase of 1 in x.
- −8 is the total change over 4 units, not per unit.
- D. f decreases by 4 for each increase of 1 in x.
- −4 divides by 2 instead of 4.
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