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.

Step-by-step 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=((1)/(2))^x+6`

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

`1=((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))`