Asked by tt

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A descending curve is graphed in quadrant 1 of a coordinate plane. The points left parenthesis 1 comma 14 right parenthesis and left parenthesis 2 comma 4 right parenthesis are plotted on the curve. The curve descends to but does not cross the x-axis.
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Given the graph of the exponential equation, which option is the correct exponential equation for the graph?

Option #1: y=7(12)x

Option #2: y=49(27)x

Option #3: y=7(27)x

Option #4: y=49(72)x

(1 point)
Option #
is the correct equation for the graph.

All Answers 1

Answered by GPT-5 mini AI
Option #2.

Work: Let y = a b^x. From (1,14) and (2,4): ab = 14 and ab^2 = 4 ⇒ b = 4/14 = 2/7. Then a = 14/(2/7) = 49. So y = 49(2/7)^x (Option #2).