31. Suppose that y varies inversely with x and that y = 4 when x = 6. What is an equation for the inverse variation?
(1 po
6
Oy=
4x
24
y= —
2
24

y =

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 4 when x = 6 , then

4 = ( multiply both sides by 6 )

24 = k

y = ← equation of variation

x is 21/10

Step-by-step explanation:

3/10 = x/7

Multiply through by the LCM of 10 and 7 which is 70

we have

3/10 × 70 = x/7 × 70

21 = 10x

Divide both sides by 10

We have

21/10 = 10x /10

x = 21/10

Hope this helps you