Y varies inversely as x. Y=12 when x=7. Find y when x=4

Answer 1

"Y varies inversely as x" means y = A/x, where A is a constant. To figure out A, we can use the first data points.

12 = A/7

A = 84

Now we know that y = 84/x. To solve the final question, we can plug in 4 for x:

y = 84/4

y = 21

Answer 2

If y varies inversely with x, that means that y follows the form: y = a/x. Now, given that y = 12 when x = 7 we just need to plug 12 in for y and 7 in for x into the equation y = a/x and solve for a. Therefore,

y = a/x

12 = a/7; when y = 12 and x = 7

a = 84 (just multiply both sides by 7 to get a alone on one side of the equation).

Now, we have the equation y = 84/x because we just found that a = 84. So, to find y when x = 4, we just need to plug x = 4 into the equation y = 84/x. Therefore,

y = 84/x

y = 84/4; when x = 4

y = 21.

Answer 3

x₁y₁ = x₂y₂

(7)(12) = 4y

Can you solvel for y and answer?