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The force F needed to loosen a bolt with a wrench varies inversely with the lenth I of the handle. Write an
equation relating Fand I given that 250 pounds of force must be exerted to loosen a bolt when using a wrench
with a handle 6 inches long. How many pounds of force must be exerted when using a wrench with a handle 24
inches long? Round to 1 decimal place.
F =
pounds of force

The force F needed to loosen a bolt with a wrench varies inversely with the lenth I of the handle Write an equation relating Fand I given that 250 pounds of for class=

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Answer:

Step-by-step explanation:

We first need to determine what the model is for this situation. Using the inverse proportion equation, which is

[tex]F=\frac{k}{l}[/tex], we can find that model using the information given.

We first need to solve for k, the constant of proportionality. Using F = 250 and l = 6,

[tex]250=\frac{k}{6}[/tex] and

multiply both sides by 6 to get that

k = 1500

Now we use that k value along with l = 24 to solve for the force needed:

[tex]F=\frac{1500}{24}[/tex] so

F = 62.5 pounds

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