Question

Use the image to answer the question.

A coordinate plane shows a solid curved line with arrows at both ends. The x axis ranges from 40 to negative 40 in increments of 5 and the y axis ranges from 40 to negative 20 in increments of 5.
▼Click for Long Desc
The curved line starts at left parenthesis negative 40 comma 0 right parenthesis remains constant along the x axis, then makes a sharp curve at left parenthesis negative 1 comma 0 right parenthesis, and continues to rises steeply until left parenthesis 2 comma 40 right parenthesis. All values are approximate.

Which equation is modeled by the graph?

(1 point)

y=3.5(4)x


y=10(4)x


y=−3.5(4)x


y=50(4)x

Answer 1

y = 3.5(4)^x

Reason: The graph has horizontal asymptote y = 0 for negative x so the model is y = a·4^x with a > 0. Of the choices, 3.5·4^x is the small positive coefficient that matches the rapid rise to the right (closest to the plotted values).