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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The values on the x-axis range from 0 to 3 in increments of 1. The values on the y-axis range from 0 to 8 in increments of 1. A curve with an arrow on the right end begins at a point plotted on the y-axis labeled left parenthesis 0 comma 3 right parenthesis. The curve slopes upward from left to right, passing through another plotted point labeled left parenthesis 1 comma 4.5 right parenthesis. The curve continues to rise through quadrant 1, passing through the following approximate points: left parenthesis 1.5 comma 5.5 right parenthesis and left parenthesis 2.4 comma 8 right parenthesis.

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

(1 point)

y=3(23)x


y=2(32)x


y=3(32)x


y=32(3)x

Answer 1

y = 3(3/2)^x

Reason: y-intercept gives a = 3. Using (1,4.5): 3·b = 4.5 ⇒ b = 4.5/3 = 1.5 = 3/2.