# Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 34: 14

a) The graph is on the figure below. b) 1) The slope represents how much the number of spaces rented decrease when the price increases by $\$1$. 2) The$y$intercept represents the number of spaces rented when they are free (the price$x=0$). 3) The$x$intercept represents how much you have to charge so that you rent none of the spaces ($y=0$). #### Work Step by Step We will sketch this graph using that 1) for$y=0$: $$200-4x=0\Rightarrow 4x=200\Rightarrow x=50,$$ so it intercepts$x$axis at$x=50$; 2) for$x=0$: $$y=200-4\times0=200$$ so it intercepts the$y$axis at$y=200.$Just connect those two points to get the graph but the line should not leave the first quadrant since both$x$and$y\$ are positive. This graph is shown on the figure below.

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