Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

x 8, 16, 24 - y 11, 22, 33

choose an answer.

a. yes; y = 2.75x
b. yes; y = 0.6875x
c. yes; y = 1.375x
d. no; y does not vary directly with x

Answer 1

To see if they vary directly, you can divide each of the y values with the corresponding x value.

Answer 2

They all are the same number when I divide them.

Answer 3

yes, since as x increases y does as well.
the rate of change is (22-11)/(16-8) = 11/8 = 1.375
This means the slope is 1.375, so C is the answer.

Answer 4

That number is the direct variation.

Answer 5

Happy to help:)

Answer 6

yw,

Answer 7

If you can help me with this one also, It would be greatly appreciated. :)

Answer 8

sure

Answer 9

Suppose y varies directly with x, and y = 8 when x = -6. What direct variation equation relates x and y? What is the value of y when x = -2?

Choose one answer.
a. y = -0.75x; 1.50
b. y = -1.33x; 2.67
c. y = 1.33x; -2.67
d. y = 0.13x; -0.25

Answer 10

if there is a direct relationship, then as x increases, so does y. This implies a positive slope, so we can eliminate A and B immediately.

Answer 11

Now, we know that the y-value has to increase from when x=-6 to when x = -2.

Answer 12

It doesn't look like any of the y-values are greater than 8, so I'm kinda stuck...sorry.