HELP PLEASE,

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
x= 1 3 4 7
y= 5 15 20 35

a. direct variation y=1/5x
b. inverse variation xy=5
c. direct variation y=5x
d. inverse variation xy=1/5

Respuesta :

direct variation is y=kx where k is a constant
we see it is x times 5
so y=5x

answer is C

We will see that we have a direct variation, which can be written as:

y = 5x.

Do the data in the table represent a direct variation or an inverse variation?

Here we have the table:

x   y

1    5

3   15

4   20

7   35

As you can see, as x increases, the other variable also increases. So we have a direct variation.

The general direct variation is:

y = k*x

If we use any pair of the table, like the second one (3, 15), we can write:

15 = k*3

Solving for k, we get:

15/3 = k = 5

Then the direct variation is:

y = 5*x

If you want to learn more about direct variation:

https://brainly.com/question/6499629

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