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## Homework Statement

12. The Doggone Leash Company offers personalized dog accessories. The dog’s name is printed on items such as leashes and collars. A basic fee is charged for the first 10 letters of the dog’s name, and an additional charge applies to each letter after that. The graph shows the relationship between the total cost of the service and the number of additional letters in the dog’s name.

a. Write an equation that models this relationship and define the variables that you use.

b.What is the cost of each additional letter? Explain how you know.

c.What is the cost of a leash with no additional letters? Explain how you know.

d. Create a table of values that shows the cost of a leash for 0 to 5 extra letters.

2. Homework Equations

2. Homework Equations

y=mx+b

## The Attempt at a Solution

so here are my answers, are they correct?[/B]

a. Write an equation that models this relationship and define the variables that you use.

In the equation y = mx + b, y represents the total cost of personalized dog accessories, m represents the basic fee, x represents the number of 10 letters, and b represents the additional fee. According to the graph the basic fee is $11. I also noticed every time an additional letter is added the cost increases by $1, meaning the additional fee is $1.

An equation that models this relationship is:

y = 11x + 1

b. What is the cost of each additional letter? Explain how you know.

By looking at the graph I can tell that the cost is increasing by $1 for each additional letter added on. This indicates that the cost of an additional letter is $1.

c. What is the cost of a leash with no additional letters? Explain how you know.

Since there are no additional letters the amount of letter purchased is 10. The basic fee for 10 letters is $11. Therefore, the cost of a leash is $11.

d. Create a table of values that shows the cost of a leash for 0 to 5 extra letters.