Using the discussed properties of exponential decay graphs, find the y-intercept of the function y=30(0.85)x that models an exponential sequence.(1 point)

Answer 1

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

Substituting \( x = 0 \) into the function:

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

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

\[ y = 30 \cdot 1 = 30 \]

Thus, the y-intercept of the function is \( 30 \).

In summary, the y-intercept is \( (0, 30) \).