Question

If y = 6 when x = 24, what is the value of x when y =7

Answer 1

Y = 6 when x = 24

direct variation y = kx

the given numbers from one ratio is expressed as y/x = 6/24

to find x, when y = 7

we set up a new ratio that is y/x = 7/x

by the definition both ratios are equal 6/24 = 7/x

6/24 = 7/x
1/4 = 7/x
1/4x = 7
x/4 = 7
x = 7 × 4
x = 28

the value of x is 28 when y = 7

hope this helped, God bless!