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Question
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)
The y-intercept is at the point (0,
).
1 answer
To find the y-intercept of the function \( y = 30(0.85)^x \), we need to evaluate the function when \( x = 0 \).
Substituting \( x = 0 \):
\[ y = 30(0.85)^0 \]
Since any number raised to the power of 0 is 1, we have:
\[ y = 30 \cdot 1 = 30 \]
Thus, the y-intercept is at the point \( (0, 30) \).
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