Question

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

$y = 6600(1.036)^x$

answer attempt 1 out of 2

growth % increase submit answer

Explanation:

Step1: Identify growth/decay factor

The exponential function is in the form $y = a(1+r)^x$, where $1+r$ is the base. Here, the base is $1.036$, which is greater than 1, so it represents growth.

Step2: Calculate percentage rate

Subtract 1 from the base to find the rate:
$r = 1.036 - 1 = 0.036$
Convert to percentage: $0.036 \times 100 = 3.6\%$

Answer:

Growth, 3.6% increase