Question

The amount a spring will stretch, S, varies directly with the weight, F, attached to the spring. If

a spring stretches 2.22 inches with 37 pounds attached, how far will it stretch when 25 pounds
are attached?
(1 point)
0.6 inches
16.67 inches
0.95 inches
1.5 inches

Answer 1

Answer: 1.5 inches

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