Question

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y = 600(0.75)x

Answer 1

The exponential function represents decay with a percentage rate of 25% decrease per unit.

Step-by-step explanation:

The given exponential function is:

`y = 600(0.75)^x`

To determine if the change represents growth or decay, we need to consider the base of the exponential function, which is 0.75. Since the base is less than 1, the function represents decay.

To determine the percentage rate of decrease, we can calculate the percent decrease per unit (x) using the formula: percent decrease per unit = (1 - base) * 100%.

In this case, the percent decrease per unit is (1 - 0.75) * 100% = 25%.