If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, how do you find y when x is 6 and t = 3?

Natalya Mayer

Natalya Mayer

Answered question

2022-09-05

If x varies inversely as y and directly as t, and x = 12 when t = 10 and y = 25, how do you find y when x is 6 and t = 3?

Answer & Explanation

soyafh

soyafh

Beginner2022-09-06Added 17 answers

the initial statement is x t y
to convert to an equation multiply by k the constant of variation
x = k t y
to find k use the given condition
x=12 when t=10 and y=25
x = k t y k = x y t = 12 × 25 10 = 30
equation is | 2 2 x = 30 t y 2 2 | ̲ ¯
when x=6 and t=3
y = 30 t x = 30 × 3 6 = 15

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