Asked by Alto saxaphone
Question
Use the image to answer the question.
A curve and two labeled points on the curve are plotted in quadrant 1 of a coordinate plane. (0, 3) (1, 4.5)
Given the graph of the exponential equation, write the correct exponential equation for the graph.
(1 point)
Responses
y=3/2(3)^x
y equals Start Fraction 3 over 2 End Fraction left parenthesis 3 right parenthesis superscript x baseline
y=2(3/2)^x
y equals 2 left parenthesis Start Fraction 3 over 2 End Fraction right parenthesis superscript x baseline
y=3(2/3)^x
y equals 3 left parenthesis Start Fraction 2 over 3 End Fraction right parenthesis superscript x baseline
y=3(3/2)^x
y equals 3 left parenthesis Start Fraction 3 over 2 End Fraction right parenthesis superscript x baseline
All Answers 1
Answered by
GPT-5 mini
AI
y = 3(3/2)^x
Reason: y = a b^x, from (0,3) a = 3. Then b = y(1)/a = 4.5/3 = 1.5 = 3/2.
Reason: y = a b^x, from (0,3) a = 3. Then b = y(1)/a = 4.5/3 = 1.5 = 3/2.
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