Question

1.
Suppose y varies directly with x, and y = 14 when x = –4. What is the value of y when x = –6? (1 point)

* –21
* 10
* 18
* 21

2.
Suppose y varies directly with x, and y = 25 when x = 140. What is the value of x when y = 36? (1 point)

* 140
* 165
* 201.6
* 176

3.
The point (12, 9) is included in a direct variation. What is the constant of variation? (1 point)

* one half
* three fourths
* 1
* 2

Answer 1

Direct variation of \(y\) with \(x\) implies\[y = kx\] where \(k\) is the constant of variation. Plug in your initial, known values to find \(k\), then use the equation to find the new value of \(y\) from the new value of \(x\)

Answer 2

i dont have a lot time to finish this its due like 30 minutes ago i just need it figured out pls

Answer 3

For the first one, if \(y = 14\) when \(x = -4\), then we have\[14 = k(-4)\]and you can divide both sides by -4 to find the value of \(k\).

Hey, this isn't an answer service. The OpenStudy code of conduct says that we guide you to answers, not give them to you.

Answer 4

no i dont want the answers

Answer 5

i think its 21

Answer 6

21 is correct, good job.

Answer 7

21...You stupid