Question

Given the following exponential function, identify whether the change represents

growth or decay, and determine the percentage rate of increase or decrease.
y =
630(0.94)

Answer 1

decay, 94%

Explanation:

when multiplying by a decimal between 0 and 1, the base value (630 in this case) is being decayed over time, by more and more each time you multiply by that decimal (.94 in this case)

however, of yoy were to multiply by any number greater than one, you're exponentially increasing the base value each time.

the percentage of increase or decrease is the decimal value from earlier youre multiplying by, except with the decimal moved two places to the right (.94 goes to 94%)

Answer 2

6% decrease

Explanation:

Decay: 0.94 is less than 1

y=5700(0.94)

y=a(1-r)

y=5700(1-0.06)--- Break apart

r=0.06

6% decrease---- Convert to percentage