Chapter 14.3, Problem 5CYU

a.

To determine

To write an expression for how much more Atlas charges

Answer to Problem 5CYU

Atlas charges $x+1.55$ more.

Explanation of Solution

Given: Atlas service charges $4x+2.80$ , and

Mid-Atlantic service charges $3x+1.25$ ,

Where x is the weight of the item.

Concept Used: Polynomial subtraction

Calculation:

How much more Atlas charges = Charges of Atlas- Charges of Mid-Atlantic

Substituting the expressions,

  $=(4x+2.80)-(3x+1.25)$

Opening the brackets,

  $=4x+2.80-3x-1.25$

Re-arranging the values,

  $\begin{array}{l}=4x-3x+2.80-1.25\\ =x+1.55\end{array}$

Conclusion: Atlas charges $x+1.55$ more.

b.

To determine

To find how much more will atlas charge if the item is 2 pounds.

Answer to Problem 5CYU

Atlas charges 3.55 dollars more.

Explanation of Solution

Given: The item is 2 pounds

Atlas charges $x+1.55$ more.

Calculation:

Substituting the weight (x) of the item, in the expression,

  $\begin{array}{l}=2+1.55\\ =3.55\end{array}$

Conclusion: Atlas charges 3.55 dollars more.