Question

On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.

Answer 1

A hiker has the following items:

A sleeping bag that weighs 3.4 lb

A Camping bag that weighs 4.6 lb

And a water bottle that weighs 2.2 lb.

The expression would be:

3.4x + 4.6x + 2.2x = x

Where x is the weight that each x hikers are carrying.

You just need to add the three items and the answer would be 10.2 pounds.

Answer 2

We want to find the total weight that each hiker carries by adding the weights of all individual items that they carry. And then we want an expression for the total weight that x hikers carry.

These items can be seen in the image at the end of the answer.

We will see that the total weight carried by x hikers is given by:

W(x) = (10.2lb)*x

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First, let's find the weight that each hiker carries.

Each hiker carries:

• Sleeping bag of 3.4 lb.
• Backpack of 4.6 lb.
• Water bottle of 2.2 lb.

The total weight is:

T = 3.4 lb + 4.6 lb + 2.2 lb = 10.2 lb

Then if each hiker carries 10.2 lb of weight, and there are x hikers, the total weight carried by them will be x times 10.2 lb

We have:

W(x) = (10.2lb)*x

If you want to learn more, you can read:

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