Advanced MathHardSmallest integer input where an exponential function exceeds a threshold
Advanced Math practice question
The function g is defined by g(x) = 100(1.1)ˣ. What is the smallest integer value of x for which g(x) is greater than 130?
Answer: 3
g(2) = 121 and g(3) = 133.1. So the smallest integer is 3.
Common wrong answers
- If you answered 2
- g(2) = 121, which is below 130.
- If you answered 30
- 30 treats the growth as 1 per unit (100 + 30).
- If you answered 1.3
- 1.3 is the ratio 130/100, not x.
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