Problema Solution
An on demand publisher charges $22.50 to print a 600 page book and $15.50 to print a 400 page book. Find a linear function which models the cost of a book as C as a function of the number of pages p. Interpret the slope of the linear function and find and interpret c(0)
Answer provided by our tutors
let 'x' represent the number of pages and 'y' represent the charge to print a book
we have two points (600, 22.50) and (400, 15.50)
y-22.5 = ((15.5 - 22.5)/(400-600)) * (x-600)
C(x) = 0.035x + 1.5
the slope of the function is 0.035, indicating 3.5 cents per page
C(0) = 1.5, indicating that a zero-page book would cost $1.50