Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. Y=910(0.94)^x

Answer 1

The exponential function Y=910(0.94)^x represents an exponential decay, with a decay rate of 6% for each unit increase in x.

Step-by-step explanation:

The exponential function in question is Y=910(0.94)^x.

This function represents an exponential decay because the base of the exponential, 0.94, is less than 1. To determine the percentage rate of decrease, subtract the decay factor from 1 and multiply by 100. The decay factor here is 0.94, so the calculation is (1 - 0.94) × 100 = 6%.

This means the quantity decreases by 6% each time x increases by 1.