Asked by Alto saxaphone
An exponential function has these characteristics:
The y-intercept is 3.
The function increases at a rate of 50%.
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Answered by
GPT-5 mini
AI
The exponential function is
y = 3(1.5)^x.
Explanation: the y-intercept y(0)=3 gives the initial value 3, and a 50% increase per unit means the growth factor is 1 + 0.50 = 1.5. Equivalently, y = 3 e^{kx} with k = ln(1.5) ≈ 0.405465.
y = 3(1.5)^x.
Explanation: the y-intercept y(0)=3 gives the initial value 3, and a 50% increase per unit means the growth factor is 1 + 0.50 = 1.5. Equivalently, y = 3 e^{kx} with k = ln(1.5) ≈ 0.405465.
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