Advanced MathMediumDifference of two consecutive outputs of an exponential function
Advanced Math practice question
The function f is defined by f(t) = 2,000(1.05)^t. What is the value of f(2) − f(1)?
Answer: 105
f(1) = 2,100 and f(2) = 2,205, so f(2) − f(1) = 105. (Equivalently, 5% of f(1).)
Common wrong answers
- If you answered 100
- 100 is 5% of 2,000, the growth in the first year, not the second.
- If you answered 205
- 205 is f(2) − f(0).
- If you answered 2205
- 2,205 is f(2) alone.
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