Chapter 14.2, Problem 5CYU

(a)

To determine

To find: The expression that represents the amount of excess charges of atlas shipping service thanthe charges of mid-Atlantic service.

Answer to Problem 5CYU

The expressionthatrepresents the amount of excess charges of atlas service than the charges of mid-Atlantic service is $x+1.55$ .

Explanation of Solution

Given information:

The cost of shipping charges of two companies is shown below in Table 1.

Shipping charges	Cost($)
Atlas service	$4x+2.80$
Mid-Atlantic service	$3x+1.25$

Table 1

Here, $x$ represents the item weighs in pounds.

Calculation:

Subtract the cost $3x+1.25$ of Mid-Atlantic servicefromthe cost $4x+2.80$ of atlas service to obtain the expression that represents excess charges of atlas service than the charges of mid-Atlantic service.

  $\begin{array}{c}4x+2.80-\left(3x+1.25\right)=4x+2.80-3x-1.25\\ =\left(4x-3x\right)+\left(2.80-1.25\right)\\ =x+1.55\end{array}$

Therefore, the expressionthatrepresents the amount of excess charges of atlas service than the charges of mid-Atlantic service is $x+1.55$ .

Conclusion:

Thus,the expressionthatrepresents the amount of excess charges of atlas service than the charges of mid-Atlantic service is $x+1.55$ .

(b)

To determine

To find: The amount of excess shipping charges of atlas service if an item weighs 2 pounds.

Answer to Problem 5CYU

The amount of excess shipping charges of atlas serviceis $\$3.55$ if an item weighs 2 pounds.

Explanation of Solution

Given information:

The cost of shipping charges of two companies is shown below in Table 1.

Shipping charges	Cost($)
Atlas service	$4x+2.80$
Mid-Atlantic service	$3x+1.25$

Table 1

Here, $x$ represents the item weighs in pounds.

The item weighs 2 pounds.

Calculation:

It is given thatan item weighs 2 pounds.

Substitute $2$ for $x$ in the obtained expression $x+1.55$ from part (a) to obtain the amount of excess shipping charges of atlas service.

  $\left(2\right)+1.55=3.55$

Therefore, the amount of excess shipping charges of atlas serviceis $\$3.55$ if an item weighs 2 pounds.

Conclusion:

Thus, the amount of excess shipping charges of atlas serviceis $\$3.55$ if an item weighs 2 pounds.