Answer: when x = 7, y = 16
Step-by-step explanation: Here, we know that y varies inversely as x.
When we have two sets of inversely related coordinates, x₁ and y₁,
and x₂ and y₂, we can use the product rule, shown below,
to find the missing value.
x₁ y₁ = x₂ y₂
Here, we know that y = 14 when x = 8 so
one set of coordinates will be 8 and 14.
We want to know the value of y when x = 7.
So our other coordinates will be 7 and y.
So we have (8)(14) = (7)(y).
Simplifying, (8)(14) is equal to 112 and (7)(y) is equal to 7y.
So we have 112 = 7y.
Now we simply solve for y by dividing both sides of the equation by 7.
The 7's on the right side cancel out and
on the left, 112 divided by 7 is equal to 16.
So we have 16 = y.
So when x is equal to 7, y is equal to 16.