16Hit1600
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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