Question

Can someone help me please? Will award 80 pts.

Answer 1

When y varies inversely with x that means mathematically

  $y = \frac{k}{x}$

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

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

  $68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4$

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

  ⇒ $y = \frac{4}{x}$

So when y = 16, then

 $16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}$

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

Hope that helps!

 

Answer 2

Answer:

x = 1/4

Step-by-step 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,

$16x = 4\\x= \frac{1}{4}$