Question

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)*
•y = 50(4)*
•y= 10(4)*
Oy=-3.5(4)*

Answer 1

Assume the model is y = A·4^x. Using (2,40): A = 40 / 4^2 = 40 / 16 = 2.5. None of the choices matches 2.5 exactly, but the only positive option close to that is y = 3.5(4)^x. The negative choice is impossible (graph is above the x-axis), and 10·4^x and 50·4^x are far too large.

So pick: y = 3.5(4)^x.