Question

I don’t know if that’s the correct answer and not sure if I did the table right helppp please :( !

Answer 1

To check if the given line is exponential, we can starting by making a table for a set of values. Let's do like in the picture, for x = 0, x = 1, x = 2:

`\begin{gathered} (5\cdot0)^3=0^3=0 \\ (5\cdot1)^3=5^3=125 \\ (5\cdot2)^3=10^3=1000 \end{gathered}`

Here is the table then:

x | y

0 | 0

1 | 125

2 | 1000

For an exponential line, we can divide two y values of consecutive x values, and all consecutive values mus t be equal.

We would start by doing:

`(125)/(0)`

And comparing it to

`(1000)/(125)`

To see if they are equal. However, we can't divide by zero. Because of this, (5x)³ can't be exponential.

To be a linear line or straight line, the difference between consecutive values must be equal, so we should compare:

`125-0=125`

With:

`1000-125=875`

Because they are not equal, (5x)³ is not linear nor straight.

So it can't be alternatives A, B or C. So It has to be alternative D.