Question

Q varies inversely with x. if q = 12 when x = 5, find the value of q when x = 12.

Answer 1

Inverse Variation

Q varies inversely with x. if q = 12 when x = 5, find the value of q when x = 12.

q varies inversely as x: qx = k, such k is constant

Given values:

• q = 12
• x = 5

To determine the constant of variation, substitute the first two given values of q and x to the equation of variation.

• qx = k
• (12)(5) = k
• 60 = k

To determine the value of q, substitute the second given value of x together with the constant of variation.

• x = 12, q = ?
• qx = 60
• 12q = 60
• q = 60/12
• q = 5

Answer:

• The value of q is 5.

Wxndy~~