Question

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

Answer 1

Hello!

Answer 2

Do you know what the formula is for when y varies directly with x? :)

Answer 3

From " y varies directly with x, and y = 25 when x = 140 " you need to come up with an algebraic equation. This equation is y = kx, where k is the "constant of variation."

Answer 4

Start with y = kx, substitute the given data, and then find the value of k.

Answer 5

Last, let x = 36 and calculate y.

Answer 6

As mathmale has stated. Plug in y = 25 and x = 140. Solve for k, in the equation y = kx.

Then you plug in whatever value you get for k, and you also plug in x = 36, and just ssolve for y. :)

Answer 7

@Frostfirekailli Do you follow along? :)

Answer 8

I think so...

Answer 9

What did you understand? :)

Answer 10

Great. Now find the value of the constant of proportion, k.

Answer 11

Do I divide y by x?

Answer 12

correct! :)

Answer 13

I got 5.6

Answer 14

mhmm, how so?

Answer 15

25 = 140k

solve for k :)

Answer 16

Sorry wrong answer I got 0.17867

Answer 17

Probably be easier if we just simplify 25/140

Answer 18

5/28

Answer 19

good :)

Answer 20

now lets find the value of y when x = 36

Answer 21

oops, my bad. Lets find the value of x when y = 36

Answer 22

So we have

y = kx

plug in k = 5/28
and y = 36

we need to solve for x :)

Answer 23

201.6

Answer 24

Thank you!

Answer 25

Correct! :D