The equation which can be used to model the relationship is y = 8wx / z
How to write and solve proportional equation
y = (k × w × x) / z
where,
- k = constant of proportionality
y = 400
w = 10
x = 25
z = 5
- substitute into the equation
y = (k × w × x) / z
400 = (k × 10 × 25) / 5
400 = 250k / 5
2000 = 250k
k = 2000 / 250
k = 8
Therefore,
y = (k × w × x) / z
y = (8 × w × x) / z
y = 8wx / z
The complete question
Suppose that y varies jointly with w and x and inversely with z and y = 400 when w = 10, x = 25 and z = 5. How do you write the equation that models the relationship?
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