Question

Which one of the following equations could describe the above graph?OA. Y=1.5^(x+2)-3OB. Y=2^x+6Oc. = y=(1/2)^x+6D. Y= 3^(x-1)

Answer 1

Given:

The points lie on the graph are (1,1) and (2,3).

Required:

We need to find the equation of the given graph.

Explanation:

Consider the individual equation.

A.

$y=1.5^{(x+2)}-3$

Substitute x =1 and y =1 in the equation.

$1=1.5^{(1+2)}-3$$1=0.375$

This is not true,

This is not a required equation.

B.

$y=2^x+6$

Substitute x =1 and y =1 in the equation.

$1=2^1+6$$1=8$

This is not true,

This is not a required equation.

C.

$y=(\frac{1}{2})^x+6$

Substitute x =1 and y =1 in the equation.

$1=(\frac{1}{2})^1+6$$1=6.5$

This is not true,

This is not a required equation.

D.

$y=3^{(x-1)}$

Substitute x =1 and y =1 in the equation.

$1=3^{(1-1)}$$1=1$

This is true.

Substitute x =2 and y =3 in the equation.

$3=3^{(2-1)}$$3=3$

This is true.

This is a required equation.

Final answer:

$y=3^{(x-1)}$