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?

Answer 1

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 $=(3.4lb+4.6lb+2.2lb)x$
$=\left[\right(3.4lb+4.6lb+2.2\left)lb\right]x$ {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: $(10.2lb)xand40.8lb$