Which graph represents the linear function below?

Step-by-step explanation:

took the quiz

The correct option is C.

Step-by-step explanation:

The given function is

             ..... (1)

The point slope form of a linear function is

                   ..... (2)

Where, m is slope and the graph passing through the point .

From (1) and (2), we get

It means the slope of the line is positive and the graph passing though the point (2,4).

Put x=0 in the given function, to find the y-intercept.

The y-intercept is 1.333.

Put y=0 in the given function, to find the x-intercept.

The x-intercept is -1.

Therefore option C is correct.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.