IDNLearn.com connects you with experts who provide accurate and reliable answers. Get the information you need from our experts, who provide reliable and detailed answers to all your questions.

recall that the length a spring  streches varies directly with the amount of weight attached to it. a certain spring stretches 5cm when a 10-gram weight is attached 
write a direct variation equation relating the weight x and the amount of stretch y.


Sagot :

Direct variation is y=kx

In this case, y=1/2x. The spring stretches 5 cm for every 10 grams. Therefore if y=5 and x=10, k would have to be 1/2. That's how we come up with our direct variation model.




[tex]This\ spring\ stretches\ in\ proportion\ to\ weight,\ that\ is,\ for\ every \\ 10\ grams\ of\ weight\ the\ amount\ of\ stretch\ is\ 5\ cm.\\ \\x\ [g]\ \ \ |\ \ 10\ \ |\ \ 20\ \ |\ \ 30\ \ |\ \ 40\ \ |...|\ \ \ a\ \ \ |\\------------------\\y\ [cm]\ |\ \ 5\ \ \ |\ \ 10\ \ |\ \ 15\ \ |\ \ 20\ \ |...|\ \ \frac{1}{2} a\ \ |\\\\a\ variation\ equation\ is\ y= \frac{1}{2} x[/tex]