Answer: 1.5 inches
Step-by-step explanation:
If two quantities are directly proportional, it means that an increase in the value of one quantity would cause a corresponding increase in the other quantity. Also, a decrease in the value of one quantity would cause a corresponding decrease in the other quantity.
Given that the amount a spring will stretch,S varies directly with weight, F, if we introduce a constant of proportionality, k, the expression becomes
S = kF
When S = 2.22 and L = 37, then
2.22 = 37k
k = 2.22/37 = 0.06
Therefore, the equation that relates the length S that the spring stretches to the weight F is
S = 0.06F
Therefore, if F = 25 pounds, then
S = 0.06 × 25
S = 1.5 inches
