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.

A. Using the function, determine one possible daily cost by evaluating the function for any input of your choice.

B. For what value of x does C (x) = 1900?

C. Interpret the statement C (20) = 1270.

D. Interpret the statement C (w) = p.

E. Explain whether C (40.5) = 1341.75 is correct and possible given the context of this problem.

Question

Mathematics

Kellie

18 December, 13:57

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.

A. Using the function, determine one possible daily cost by evaluating the function for any input of your choice.

B. For what value of x does C (x) = 1900?

C. Interpret the statement C (20) = 1270.

D. Interpret the statement C (w) = p.

E. Explain whether C (40.5) = 1341.75 is correct and possible given the context of this problem.

+1

Answers (1)

Know the Answer?

Ariel Marks · Answer 1

Part A: Chose some value for x, that means any amount of books to print for example 100 books, so x=100

Replace x=100 in C (x) and solve:

C (100) = 3.5*100+1200=1550

Part B: Replace C (x) by 1900 and solve for x from the given equation:

1900=3.5x+1200

3.5x=1900-1200

x=700/3.5 = 200

Part C: the statement C (20) = 1270 means that 1270 is the cost for printing 20 books.

Part E: C (40.5) = 1341.75 I think this statement is incorrect given the context because x means number of books to print so this value must be an integer number.