Question

Can someone help me please? Will award 80 pts.

Answer 1

x = 1/4

Explanation:

To solve, we need to find the constant of proportionality (k) which is defined by the equation:

yx = k

`(68)(1/17) = k\\k = 4`

Therefore when y= 16,

`16x = 4\\x= (1)/(4)`

Answer 2

When y varies inversely with x that means mathematically

`y = (k)/(x)`

• k ⇒ is the proportional constant that we need to find

We know for one, that when y = 68 and x = 1/17, that means

`68 = (k)/((1)/(17) ) \\68 = 17k\\k = 4`

Therefore we get the equation of the relationship between y and x as

⇒
`y = (4)/(x)`

So when y = 16, then

`16 = (4)/(x) \\4 = 16x\\x = (1)/(4)`

Thus the value of x when y = 16 is 1/4 or the third choice.

Hope that helps!