16Hit1600
Advanced MathMediumEvaluating a quadratic after finding its coefficient

Advanced Math practice question

The function f is defined by f(x) = ax², where a is a constant. If f(3) = 36, what is the value of f(5)?

Answer: 100

f(3) = 9a = 36 gives a = 4. Then f(5) = 4(25) = 100.

Common wrong answers

If you answered 20
20 is 4 × 5, not 4 × 5².
If you answered 25
25 forgets the factor a.
If you answered 60
60 scales 36 linearly by 5/3.

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