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?

Question

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?

1 Answer

Impact of this question

7093 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-11T07:46:32

$y = 15$ $y=15$

Explanation:

$the initial statement is x \propto \frac{t}{y}$ $"the initial statement is "xpropt/y$

$to convert to an equation multiply by k the constant of$ $"to convert to an equation multiply by k the constant of"$
$variation$ $"variation"$

$\Rightarrow x = \frac{k t}{y}$ $rArrx=(kt)/y$

$to find k use the given condition$ $"to find k use the given condition"$

$x = 12 when t = 10 and y = 25$ $x=12" when "t=10" and "y=25$

$x = \frac{k t}{y} \Rightarrow k = \frac{x y}{t} = \frac{12 \times 25}{10} = 30$ $x=(kt)/yrArrk=(xy)/t=(12xx25)/10=30$

$"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(x=(30t)/y)color(white)(2/2)|)))$

$"when "x=6" and "t=3$

$y=(30t)/x=(30xx3)/6=15$

Science

Math

Humanities

... and beyond

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?

1 Answer

Explanation:

Related questions

Impact of this question