Answer:
The spring will stretch 4.1 inches
Step-by-step explanation:
Direct Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
Let's call:
y = distance a spring stretches
x = weight attached to the spring
We know when x=80 pounds, y=6 inches, thus:
6 = 80k
Solve for k:
[tex]k=\frac{6}{80}=\frac{3}{40}[/tex]
The equation is now:
[tex]\displaystyle y = \frac{3}{40}x[/tex]
When x=55 pounds are attached:
[tex]\displaystyle y = \frac{3}{40}\cdot 55[/tex]
Calculating:
y = 4.1 inches
The spring will stretch 4.1 inches
