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Question

On a hike, each hiker carries the item shown. Write and interpret an expression in simplest form that represents the weight carried by ‘x’ hikers. How much total weight is carried when there are 4 hikers?


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Solution

Step 1: Given:
Items carried by each hiker are:
1. Thermal cover of weight 3.4lb
2. Bag of weight 4.6lb
3. Water bottle of weight 2.2lb
Step 2: Now the total weight carried by each hiker is:
=3.4lb+4.6lb+2.2lb

Step 3: Now the weight carried by ‘x’ hikers is:

Weight carried by each hiker is =3.4lb+4.6lb+2.2lb

Then the weight carried by ‘x’ hiker is =(3.4lb+4.6lb+2.2lb)x
=[(3.4lb+4.6lb+2.2)lb]x {Distributive property}
=(10.2lb)x {simplest form}
Step 4: Total weight carried by the 4 hikers
In the simplest expression of weight carried by ‘x’ hikers that is
(10.2lb)x we just have to put x=4
=(10.2lb)4
=40.8lb
Final Answer: (10.2lb)xand40.8lb


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