If y varies directly with x and y = 16 when x = 4, find x when y = 8.

Mathematics

2 answers:

VladimirAG [237]4 years ago

7 0

Answer: X = 2

Step-by-step explanation:

Y & X

Y = KX

K = Y/X = 16/4 = 4

Y= 8

K =4

X=?

X = Y/K

X = 8/4 = 2

Luba_88 [7]4 years ago

5 0

Step-by-step explanation:

$Given: \\ y \: \alpha \: x \\ \therefore \: y = kx..(k = constant)..(1) \\ \\ let \: us \: substitute \: x = 4 \: and \: y = 16 \: \\ in \: equation \: (1)\\ \\ 16 = 4k \: \\ \implies \: k = \frac{16}{4} \\ \implies \: k = 4 \\ substituting \: k = 4 \: in \: equation \: \\ (1) \: we \: find : \\ y = 4x....(2) \\ now \: we \: need \: to \: find \: x \: when \: y = 8 \\ \therefore \: 8 = 4x \\ \implies \: x = \frac{8}{4} \\ \huge \orange{ \boxed{\implies \: x = 2}}$

You might be interested in

A child is 12 years old, and his father is 32 years older. In how many years will the age of the father be 2 times the age of th

notsponge [240]

Hello :)

In 8 years, the father will be 2 times older than the child.

In 8 years, the father will be 40

In 8 years, the child will be 20

40 ÷ 20 = 2

So again, the answer is 8 years :)

Hope this helps and have a great day

4 0

3 years ago

Read 2 more answers

Carl is paid $10 plus $8 an hour. he was paid $66. how many hours did he work

Serhud [2]

First you would turn this word problem into an equation.

10+8x=66

now solve for x

you should get x=7

Carl worked 7 hours.

3 0

3 years ago

How can i write 1 as a power in three different ways?

Svetradugi [14.3K]

2^1 1^2
3^1 or 1^3
4^1 1^4
I'm not sure which.

5 0