The spring will be stretched 18.2 inches by force of 26 pounds.
Step-by-step explanation:
7 pound stretches the spring = 4.9 inches
Ratio of force to spring = 7:4.9
New force = 26 pounds
Spring stretched = x
Ratio of new force to spring = 26:x
Using proportion;
Ratio of force to spring :: Ratio of new force to spring
[tex]7:4.9::26:x\\[/tex]
Product of mean = Product of extreme
[tex]4.9*26=7*x\\127.4=7x\\7x=127.4\\[/tex]
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{127.4}{7}\\x=18.2\\[/tex]
The spring will be stretched 18.2 inches by force of 26 pounds.
Keywords: ratio, proportion
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