# mapping diagram, algebra homework

**Question description**

- Below, you are given a mapping diagram.
- Create and justify a relation that represents a function with the given range. Write your answers as ordered pairs.
- Create and justify a relation that does not represent a function with the given range. Write your answers as ordered pairs.

- Find the equation of the line in the graph, and mathematically model the scenario using function notation where cost is a function of number of minutes.
- A textbook company keeps track of its daily cost for printing whole textbooks to different schools, but can only print up to 500 books a day. The daily cost (C) to print x number of textbooks is given by C(x) = 3.50x + 1200.
- Using the function, determine one possible daily cost by evaluating the function for any input of your choice.
- For what value of x does C(x) = 1900?
- Interpret the statement C(20) = 1270.
- Interpret the statement C(w) = p.
- Explain whether C(40.5) = 1341.75 is correct and possible given the context of this problem.

- Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings:
- f(1) = 35, f(n) = f(1) + f(n-1) for n > 1
- f(n) = 35n
- Which one of these formulas show the sequence written recursively, and which shows it written explicitly? Justify your explanations.
- Use the recursive formula to make a table of values for 1 ≤ n ≤ 5. Show your calculations. Explain what your table means.
- Use any formula of your choice to find f(40). Explain why you chose that method and what your answer means. Show your calculations.
- Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.

- Create your own equation written in standard form.
- Determine any point that is a solution and will be on this line. Justify your answer algebraically.
- Explain how to find the x- and y- intercepts using complete sentences. Write the intercepts as ordered pairs.
- Rewrite the equation using function notation. Graph the function and show the intercepts.

- Compare the graph from question 2 and the equation from question 5. How are the graphs similar and different? Determine which has the greater y-value when x is 160, and explain how you determined it.

## Tutor Answer

## 8 Reviews

**Quality**

**Communication**

**On Time**

**Value**

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors