Which equation best represents this graph?
A - HSC - SSCE Mathematics Extension 1 - Question 7 - 2018 - Paper 1
Question 7
Which equation best represents this graph?
A. P(t) = 1500 + 1500e^{-kt}
B. P(t) = 3000 - 1500e^{-kt}
C. P(t) = 3000 + 1500e^{-kt}
D. P(t) = 4500 - 1500e^{-kt}
Worked Solution & Example Answer:Which equation best represents this graph?
A - HSC - SSCE Mathematics Extension 1 - Question 7 - 2018 - Paper 1
Step 1
Analyze the Graph
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Answer
Observe the graph provided. It likely depicts a population or quantity that approaches a limiting value over time, indicating an exponential model.
Step 2
Identify the Asymptote
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Answer
Identify the horizontal asymptote in the graph. This will guide you in determining the limiting value towards which the function converges as time progresses.
Step 3
Choose the Best Equation
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Answer
Based on the horizontal asymptote and the general form of the exponential decay function, the best equation that represents the graph is:
