Answer:
z stays the same
Step-by-step explanation:
From the statements
z ∝ x and z ∝ 1/y
Combining both proportions
z ∝ x/y
z = k * (x/y)
The above equation defines the relationship between x,y and z
k is the proportionality constant.
Lets say that x and y are doubled
Then
z = k * (2x/2y)
2 in the numerator and denominator will be cancelled out
z = k * (x/y)
Therefore we can conclude that z will stay the same if x and y are doubled ..
Answer:
z stays the same
Step-by-step explanation:
We have been given that z varies directly with x and inversely with y.
Thus, we have the equation
[tex]z=\frac{kx}{y}...(i)[/tex]
Here k is constant of proportionality.
Now, x and y both are doubled, thus, the equation becomes
[tex]z=\frac{k(2x)}{2y}[/tex]
Cancel 2 from numerator and denominator
[tex]z=\frac{kx}{y}[/tex]
This is same as equation (i)
Hence, we can conclude that z remains same.
first option is correct.
