Using the discussed properties of exponential decay graphs, find the y-intercept of the function y=30(0.85)x

Question

that models an exponential sequence.(1 point)
The y-intercept is at the point (0,
).

Answer 1

To find the y-intercept of the exponential function \( y = 30(0.85)^x \), we need to evaluate the function at \( x = 0 \).

Calculating \( y \) when \( x = 0 \):

\[ y = 30(0.85)^0 \]

Since any number raised to the power of 0 is 1, we have:

\[ y = 30(1) = 30 \]

Thus, the y-intercept is at the point \( (0, 30) \).

The y-intercept is at the point \( (0, 30) \).