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The amount a spring will stretch varies directly with the amount of weight attached to the spring. If a spring stretches 2.1 inches when 80 pounds is attached, how far will it stretch when 40 pounds is attached?

User StarLord
by
8.3k points

2 Answers

2 votes

Answer:

A. 1.05 in.

Explanation:

User Sam Machin
by
7.9k points
1 vote

Answer:


1.05\ in

Explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
y/x=k or
y=kx

Let

x -----> the amount of weight

y ----- the amount a spring will stretch

we know that

For x=80 lb, y=2.1 in

Find the value of k (constant of proportionality)


k=y/x

substitute the values


k=2.1/80

The linear equation is


y=(2.1/80)x

How far will it stretch when 40 pounds is attached?

For x=40 lb

substitute the value of x in the linear equation and solve for y


y=(2.1/80)(40)=1.05\ in

User Alexandre Leite
by
8.3k points

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