Question #57bb0

2 Answers
Feb 15, 2018

yy = 315315 / xx

Explanation:

When Y varies inversely as x, we can express the relationship of such by:

yy = kk / xx

Hence, substituting your values of x and y can give the value of the constant k.

4545 = kk / 77

So, kk= 315315

Now that the value of k is known.
Overall, the equation would be:

yy = 315315 / xx

The question would usually give you a value of xx or yy to solve for the other unknown.

Feb 15, 2018

y=315/xy=315x

Explanation:

"the initial statement is "yprop1/xthe initial statement is y1x

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

rArry=kxx1/x=k/xlarrcolor(blue)"k is the constant of variation"y=k×1x=kxk is the constant of variation

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

y=45" when "x=7y=45 when x=7

y=k/xrArrk=yx=45xx7=315y=kxk=yx=45×7=315

"equation is " color(red)(bar(ul(|color(white)(2/2)color(black)(y=315/x)color(white)(2/2)|)))