Given the equation y=225(1.23)x . Does this equation represent growth or decay? What is the rate of growth or decay? What is the initial value? Evaluate for x = 3 .
Definitely growth. It is increasing at a rate of 23%.
The initial value is 225.
At x = 3, we have
225(1.23)^3 = about 418.7
In the equation y = 225(1.23)x, since the base of x is 1.23 and this is greater than 1.00, this equation represents growth.
If the base is less than 1.00 (such as 0.75), then it represents decay.