# How do you find the value of y for a given value of x, if y varies directly with x. If y=166 when x=83, what is y when x=237?

##### 2 Answers

May 16, 2017

#### Explanation:

Let's write this information in a table:

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Here's a pattern I noticed

Maybe the next pattern is

May 16, 2017

#### Explanation:

#"given " ypropx#

#"to convert to an equation, multiply by k, the constant" #

#"of variation"#

#rArry=kxxx=kx#

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

#y=166" when " x=83#

#rArrk=y/x=166/83=2#

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

#rArrx=237toy=2xx237=474#