Question

I need help ASAP!!!! Which table shows values representing an exponential function? A x y 0 5 1 6 2 9 3 14 4 21 B x y 0 5 1 13 2 21 3 29 4 37 C x y 0 5 1 10 2 20 3 40 4 80 D x y 0 5 1 6 2 21 3 86 4 261 A) A B) B C) C Eliminate D) D

Answer 1

Is it possible to take a picture to see the values more clearly?

Answer 2

The correct option is C.

Explanation:

Table represents a linear function, if the the rate of change is constant. It is in the form of

`y=mx+b`

Where, m is the constant rate of change.

Table represents a linear function, if the value of function increased or decreased by increasing rate. It is in the form of

`y=ab^x`

Where, a is initial value and b is common ratio.

In the given options the values of x are consecutive integers, so we will use the ratios of consecutive output values to check whether the table represent an exponential function or not.

In option C, the coordinate pairs are (0,5), (1,10), (2,20), (3,40).

`Ratio=(10)/(5)=(20)/(10)=(40)/(20)=2`

From these values we can conclude that the common ratio is 2 and the initial value is 5. So the function is

`y=5(2)^x`

Option C represent an exponential function. Therefore the correct option is C.