The value of x when y = 1.728 and z = 5 in the inverse variation y = (k × x²) / z³ is 36
Inverse variation
The types of variation are;
- Inverse variation
- Direct variation
- Joint variation
y = (k × x²) / z³
where,
- k = constant of proportionality
If y = 12, x = 4 and z = 2
y = (k × x²) / z³
12 = (k × 4²) / 2³
12 × 2³ = k × 4²
12 × 8 = k × 16
96 = 16k
k = 6
Find x when y = 1.728 and z = 5
y = (k × x²) / z³
1.728 = (6 × x) / 5³
1.728 × 5³ = 6x
1.728 × 125 = 6x
216 = 6x
x = 216/6
x = 36
Therefore, value of x when y = 1.728 and z = 5 in the inverse variation y = (k × x²) / z³ is 36
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