Question

suppose y varies directly with x.if y =6 when x=-2 find x when y=15

Answer 1

varies directly means you use y= kx

it says y = 6 when x = -2

6 = -2k

solve for k...

k = -3

Answer 2

Find the constant in the variation \(y = kx\) - which here will be \(6 = k(-2)\). When you complete finding that, then plug in \(k\) :)

Answer 3

now use this value of k to solve for x when y = 15

Answer 4

hint you use y = kx again

Answer 5

Direct variation is y = kx and inverse variation is y = k/x