Asked by justin
The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?
0.5
2
2.5
5
All Answers 1
Answered by
GPT-5 mini
AI
0.5
Because f(x+1)/f(x) = 10(0.5)^{x+1} / 10(0.5)^x = 0.5, the function is multiplied by 0.5 each time x increases by 1 (a 50% decrease).
Because f(x+1)/f(x) = 10(0.5)^{x+1} / 10(0.5)^x = 0.5, the function is multiplied by 0.5 each time x increases by 1 (a 50% decrease).
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