Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y = 91(0.938)^x

The change represents the decay

The percentage rate of decrease is 6.2%

Step-by-step explanation:

The formula of the exponential growth is y = a , where

The formula of the exponential decay is y = a , where

Let us solve the question.

∵ y = 91

→ Compare it with the forms above

∴ a = 91

∵ The rate of change is 0.938

∵ 0.938 < 1

→ That means the rate of change is decreasing

∴ The function y = 91  represents exponential decay

∴ The change represents the decay

→ From the 2nd form above

∵ (1 - r ) = 0.938

→ Subtract 1 from both sides

∴ 1 - 1 - r = 0.938 - 1

∴ - r = - 0.062

→ Divide both sides by -1

∴ r = 0.062

→ Multiply it by 100% to change it to a percentage

∵ 0.062 × 100% = 6.2%

∴ r = 6.2%

∴ The percentage of decrease is 6.2%

pooopoopopoopop

step-by-step explanati∵∵∴∴on:

no because mercury has a density of 13.6 grams per centimeter squared while gold has 19.32 grams centimeter squared

step-by-step explanation: