Single Variable Calculus, Chapter 1, 1.2, Section 1.2, Problem 12

Based from the past experience of the manager of the weekend flea market, that if he charges $x$ dollars for a rental space at the market, then the number $y$ of spaces he can rent is given by the equation $y=200 - 4x$.

(a.) Sketch a graph of this linear function. (The rental charge per space and the number of spaces rented can't be negative quantities)







(b.) What do the slope, the $y$-intercept, and the $x$-intercept of the graph represent?



The slope represents the decrease of spaces as the rental charges increase. The $y$-intercept represents the size of the space when the rental charge is zero where the $x$-intercept represents the amount of charge when the space is zero.