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?

Step-by-step explanation:

we know that

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

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)

substitute the values

The linear equation is

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

44

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