Question

given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

$y = 10(1.68)^x$

answer
attempt 1 out of 2
growth % increase
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Explanation:

Step1: Identify growth/decay

Exponential form: $y = a(1+r)^x$. If base $>1$, it's growth. Here, $1.68>1$, so growth.

Step2: Calculate percentage rate

Subtract 1 from the base: $1.68 - 1 = 0.68$. Convert to percentage: $0.68 \times 100 = 68\%$.

Answer:

Growth, 68% increase