Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=57(0.4)^x

Decay, 60%

Step-by-step explanation:

Remember that the exponential function is written in the form . In this problem, a=57 and b=0.4. A function is considered a growth function when . Since 0.4 not greater than 1, this is an exponential decay function.

Now, to find the rate of decrease we can use part of the form .

represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for .

So, the rate of percentage decrease is 60%.

I hope this helps!

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)