Question

Suppose that y varies jointly with w and x and inversely with z and y=400.

Answer 1

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

• cross product

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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