# Lesson 5Getting Your Share of the PieDevelop Understanding

Prove that .

### 2.

Use the given information and the diagram to find . Justify each step of your work.

Given: and .

Given:

Prove

Given:

Prove

## Set

A lever is a simple machine consisting of a bar that pivots on a fixed support, or fulcrum. It is used for making it possible to lift a heavy object.

Use the information about a lever to solve the following problems.

### 5.

A child who weighs is sitting on a teeter-totter from the fulcrum. Where should a child that weighs sit in order to balance the teeter-totter?

### 6.

A landscaper needs to lift a large rock that weighs . What is the minimum force he needs to apply if his crowbar has a length between the rock and the pivot point and between the pivot and where he plans to apply his force?

### 7.

The lid of a can of paint is wedged into the can and surrounded by dried paint. A painter is using a screwdriver to lift it. The friction between the lid and the can, including the weight of the lid and the dried paint, will require of force to overcome it. The fulcrum is away from where the painter is applying a downward force to pry open the lid, and the lid is from the fulcrum. What minimum force will he need to apply to the screwdriver to open the can?

### 8.

Explain how this formula represents an inverse variation relationship.

### 9.

Show that if and satisfy the equation , then .

## Go

Solve each equation for all solutions.