Question

Y varies inversely as the fourth power of x and when x=3, y=1.

Answer 1

The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼

Inverse variation

y = k ÷ x^¼

where,

• Constant of proportionality = k

When x = 3, y = 1

y = k ÷ x^¼

1 = k ÷ 3^¼

1 = k / 3^¼

• cross product

1 × 3^¼ = k

k = 3^¼

Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼

Learn more about inverse variation:

brainly.com/question/10252139

#SPJ1