Hooke's Law the table shows the distance D that a spring stretches when a weight W is hung on it.
W (pounds 2 6 9 15
D (inches) 1.6 4.8 7.2 12
(a.) Do the data represent direct or inverse variation?
Explain. (b.) Find an equation that models the data.
(c.) How far will the spring stretc if an 11- pound weight is hung on it, as depicted in the figure?
College Math - MathMate, Thursday, April 28, 2011 at 3:30pm
(a) when the ratios are proportional they represent direct variation.
For example: 1.5/2 = 4.8/6 = 7.2/9 = 12/15 = 0.8
Guess at this point you can figure out the equation required for (b).
(c) substitute W=11 into the equation in (b).
Post for checking if you wish.