AlgebraVery hardParameter from a function's value
Algebra practice question
The linear function f is defined by f(x) = ax + 5, and f(4) = 17. What is the value of f(10)?
Answer: 35
17 = 4a + 5 gives a = 3. Then f(10) = 30 + 5 = 35.
Common wrong answers
- If you answered 3
- 3 is a, not f(10).
- If you answered 30
- 30 is 3 × 10 without the +5.
- If you answered 42.5
- 42.5 scales 17 by 10/4, treating f as proportional; the +5 makes it not proportional.
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