A spring stretches to 22 cm with a 70 g weight attached to the end. With a 105 g weight attached, it stretches to 27 cm. Which equation models the distance y the spring stretches with weight x attached to it?

Question

igreen · Answer

a spring stretches to 22cm with a 70g weight attached to the end. with a 105g weight attached, it stretches to 27cm. which equation models the distance y the spring stretches with weight x attached to it? ============================================================ The equation has the form y = mx + b. Given the two points (70,22) and (105,27) we have two equations and two unknowns 22 = 70m + b [1] 27 = 105m + b [2] Subtract [1] from [2] 5 = 35m This gives m = 1/7 Now substitute this value for m into either of the two equations ([1]): 22 = 70*1/7 + b 22 = 10 + b b = 12 So the equation is y = x/7 + 12 http://www.algebra.com/algebra/homework/word/Linear_Equations_And_Systems_Word_Problems.faq.question.474986.html

igreen · Answer

Welcome to Open Study!

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texaschic101 · Answer

y = x/7 + 12 can also be written as y = 1/7x + 12...just so you know.