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.
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Given the graph of the exponential equation, write the correct exponential equation for the graph.

(1 point)
Responses

y=32(3)x

y equals Start Fraction 3 over 2 End Fraction left parenthesis 3 right parenthesis superscript x baseline

y=3(23)x

y equals 3 left parenthesis Start Fraction 2 over 3 End Fraction right parenthesis superscript x baseline

y=2(32)x

y equals 2 left parenthesis Start Fraction 3 over 2 End Fraction right parenthesis superscript x baseline

y=3(32)x

y equals 3 left parenthesis Start Fraction 3 over 2 End Fraction right parenthesis superscript x baseline

Answer 1

y = 2(3/2)^x

Reason: the points on the graph are (0,2) and (1,3). So a = y(0) = 2 and the base b = y(1)/y(0) = 3/2, giving y = 2(3/2)^x.