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

Which equation is modeled by the graph?

(1 point)
Responses

y=3.5(4)x

y equals 3.5 left parenthesis 4 right parenthesis superscript x baseline

y=50(4)x

y equals 50 left parenthesis 4 right parenthesis superscript x baseline

y=10(4)x

y equals 10 left parenthesis 4 right parenthesis superscript x baseline

y=−3.5(4)x

Answer 1

y = 10(4)^x

Reason: the y-intercept on the graph is about 10 (so a = 10) and the curve grows rapidly to the right (base 4 > 1), so the model is y = 10·4^x.