Question

If t varies inversely with s and
It is 2 when.s is 36,
what is t when s is 3?

Answer 1

Inverse Variation

If t varies inversely with s and

It is 2 when.s is 36,

what is t when s is 3?

What is inverse variation?

• Inverse variation is a quantity of two variables that is equal to a constant.

t varies inversely as s: ts = k

Given:

• t = 2
• s = 36

To determine the constant of variation (represented by k), substitute the first two given values of s and t to the equation of variation.

• ts = k
• (2)(36) = k
• 72 = k

To determine the value of t, substitute the second value of s and replace k to 72 (the value of the constant)

• ts = k
• 3t = 72
• t = 72/3
• t = 4

Answer:

• The value of t is 4.

Wxndy~~