If r varies jointly as p and q and inversely as t, then how do you find an equation for r if r=6 when p=8, q=−3, and t=3?

atarentspe

atarentspe

Answered question

2022-09-04

If r varies jointly as p and q and inversely as t, then how do you find an equation for r if r=6 when p=8, q=−3, and t=3?

Answer & Explanation

lilhova13b3

lilhova13b3

Beginner2022-09-05Added 12 answers

the initial statement is r p q t
to convert to an equation multiply by k the constant of variation
r = k p q t
to find k use the given condition
r=6 when p=8,q=−3 and t=3
r = k p q t
k p q = r t cross-multiplying
k = r t p q = 6 × 3 8 × - 3 = 18 - 24 = - 3 4
equation is r = - 3 p q 4 t

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