Problem-Solving and Data AnalysisEasy–MediumExtending a table of a linear function
Problem-Solving and Data Analysis practice question
x | g(x)
0 | 20
1 | 17
2 | 14
3 | 11
The table shows values of a linear function g. What is the value of g(5)?
Answer: 5
g falls by 3 each time x rises by 1, so g(x) = −3x + 20. Then g(5) = −15 + 20 = 5. (Or continue the pattern: 11, 8, 5.)
Common wrong answers
- If you answered 2
- 2 is g(6), one step too far.
- If you answered 8
- 8 is g(4), one step short.
- If you answered -15
- −15 is −3 × 5 without the constant 20.
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