Question

What is the y-intercept of the exponential equation y = 23 (0.25)^x

Answer 1

To find the y-intercept of an exponential equation of the form y = ab^x, we substitute x = 0, since any number raised to the power of zero is 1. Therefore, for the equation y = 23(0.25)^x, we have:

y = 23(0.25)^0 = 23(1) = 23

So the y-intercept of the equation is 23.