Advanced MathEasy–MediumPercent change per step of an exponential function
Advanced Math practice question
The function g is defined by g(t) = 200(0.6)ᵗ. By what percent does g(t) change from one whole-number value of t to the next?
- A. It decreases by 40%.Correct
- B. It decreases by 60%.
- C. It increases by 60%.
- D. It decreases by 0.6%.
Answer: A. It decreases by 40%.
Each step multiplies by 0.6, so 60% of the value remains and 40% is lost.
Why the other answers are wrong
- B. It decreases by 60%.
- 60% is what REMAINS each step, not what is lost.
- C. It increases by 60%.
- A base below 1 means decrease, not increase.
- D. It decreases by 0.6%.
- 0.6 is the factor, not a percent; 0.6 = 60%, leaving a 40% decrease.
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