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.
1. Using the function, determine one possible daily cost by evaluating the function for any input of your choice.
2. For what value of x does C(x) = 1900?
3. Interpret the statement C(20) = 1270.
4. Interpret the statement C(w) = p.
5. Explain whether C(40.5) = 1341.75 is correct and possible given the context of this problem.

Question

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. 
1.	Using the function, determine one possible daily cost by evaluating the function for any input of your choice. 
2.	For what value of x does C(x) = 1900?
3.	Interpret the statement C(20) = 1270.
4.	Interpret the statement C(w) = p.
5.	Explain whether C(40.5) = 1341.75 is correct and possible given the context of this problem.

ddcamp · Answer

1. Chose any number to be x. Find 3.5×(that value) + 1200
2. Solve 3.50x + 1200 = 1900
3. C(x) is the cost for printing x books. This line means that "It cost's $1270 to print 20 books"
4. Same thing as 3: It costs p dollars to print w books
5: Can you print half a book? No, so C(40.5) doesn't make sense in the context.