Question

The curve passes through plotted points labeled as follows: left parenthesis 0 comma 5 right parenthesis, left parenthesis 1 comma 6.5 right parenthesis, left parenthesis 2 comma 8.45 right parenthesis, and left parenthesis 3 comma 10.985 right parenthesis.


The graph models the growth of a weed bed over several weeks. Which of the following equations accurately describes the graph?

(1 point)
Responses

y=5+1.5x

y equals 5 plus 1.5 x

y=5(1.5)x

y equals 5 left parenthesis 1.5 right parenthesis superscript x baseline

y=5(1.3)x

y equals 5 left parenthesis 1.3 right parenthesis superscript x baseline

y=0(1.3)x

Answer 1

y = 5(1.3)^x

Reason: x=0 gives y=5, and each week values multiply by 1.3: 5·1.3 = 6.5, 5·1.3^2 = 8.45, 5·1.3^3 = 10.985, matching the points.