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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