How to Calculate Engraving Costs for Pewter Mugs: An Engraving Promotion Guide

In summary, the gift shop is offering pewter mugs for $35 and an engraving promotion where the first six letters are free and each additional letter costs $0.20. To find the price of a mug with x engraved letters, a piecewise function can be used to determine the cost for letters above 6 and below 6.
  • #1
uyenchristine
12
0
We need help on piecewise function...

A gift shop sells pewter mugs for $35. They are currenly running an engraving promotion. The first six letter are free. Each additional letter cost $0.20. Write the piecewise model that gives the price of the mug with x engraved letter..

PLease help we need it immediately...:cry:
 
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  • #2
How about the piecewise function? That's basically what we need. =)
 
  • #3
Oh! Thank you!
 
  • #4
can you help us with another problem,please
 
  • #5
the largest pyramid included in the first wonder of the world is Khufu. IT stands 450 feet tall and its base is 755 feet long. Imagine that a coordinate plane is placed over side of the pyramid. In the coordinate plane, each unit represent one foot and the origin is at the center of the pyramid base. Write an abolute value function for the outline of the pyramid...please help
 
  • #6
uyenchristine said:
the largest pyramid included in the first wonder of the world is Khufu. IT stands 450 feet tall and its base is 755 feet long. Imagine that a coordinate plane is placed over side of the pyramid. In the coordinate plane, each unit represent one foot and the origin is at the center of the pyramid base. Write an abolute value function for the outline of the pyramid...please help
In the case you describe, the square base can be defined by the set of two inequalities
[tex]\left\{ \begin{gathered}
\left| x \right| = 755/2,\;\left| y \right| \leqslant 755/2 \hfill \\
\left| x \right| \leqslant 755/2,\;\left| y \right| = 755/2 \hfill \\
\end{gathered} \right\}[/tex]

Since the problem does not specify an orientation for the base (only that its center be the origin), any rotational transformation (about the origin) on the square described by the two inequalities can serve as an answer.

For example, another possible solution is
[tex]\left| {x + y} \right| = \left| {x - y} \right| = 755/\sqrt 2 [/tex]
where [tex]\left| x \right|,\left| y \right| \leqslant 755/\sqrt 2 [/tex]
 
Last edited:
  • #7
oh!
 
  • #8
could u put into a simplified way?
 
  • #9
cause we are high school students:wink:
 
  • #10
Which part do you find difficult?
 
  • #11
everything. can you explain to us why it's that answer?
 
  • #12
uyenchristine said:
A gift shop sells pewter mugs for $35. They are currenly running an engraving promotion. The first six letter are free. Each additional letter cost $0.20. Write the piecewise model that gives the price of the mug with x engraved letter..

PLease help we need it immediately...:cry:
Don’t worry about the piece wise function part yet. Figure out a formula that will give you the price of each mug for letters 6 and beyond. Then figure out an equation for letters 5 and less.
 

1. What is a piecewise function?

A piecewise function is a type of mathematical function that is defined by different formulas or rules for different intervals or "pieces" of the function's domain. It is often used to model real-life situations where different rules apply in different scenarios.

2. How do you graph a piecewise function?

To graph a piecewise function, you first need to identify the different intervals or "pieces" of the function's domain and their corresponding rules or formulas. Then, plot the points for each interval and connect them with a line or curve according to the given rule. It is important to pay attention to any discontinuities or gaps in the graph that may occur at the points where the intervals meet.

3. What is the purpose of using a piecewise function?

A piecewise function allows us to represent complex and varying relationships between variables in a single function. It is often used in mathematical modeling to describe real-life phenomena that involve different rules or conditions in different situations.

4. Can a piecewise function be continuous?

Yes, a piecewise function can be continuous if the different pieces or intervals are connected smoothly at the points where they meet. This means that the function's value at the points of intersection must be equal to the limit of the function as it approaches those points.

5. How do you find the domain and range of a piecewise function?

To find the domain and range of a piecewise function, you need to consider the domains and ranges of each individual piece of the function and determine the overall domain and range based on their intersections. It is important to pay attention to any restrictions or exclusions in the domain and range of each piece of the function.

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