
a.
To write and graph the rational function representing Liam’s average cost per customer as a function of number of parking lots
a.

Answer to Problem 36PPS
The rational function that represents Liam’s average cost per customer as a function of number of parking lots is
Explanation of Solution
Given information:
Liam purchased a snow plow for
The snow plow cost $4500 and he incurs a cost of $50 for gas and maintenance when he mows a lawn.
Thus, the total cost on Liam’s part is
This means that the average cost for
Therefore, the function that represents his average cost per customer as a function of the number of parking lots mowed is,
The graph of the function can be represented as,
b.
To find out the asymptotes of the graph
b.

Answer to Problem 36PPS
The vertical asymptote is
Explanation of Solution
Given information:
Liam purchased a snow plow for
Rational function of average cost per parking lot is
To find the vertical asymptotes, set the denominator equal to zero
So, put
Therefore, the vertical asymptote is
c.
To explain why the first quadrant in the graph is the only relevant quadrant
c.

Answer to Problem 36PPS
The first quadrant in the graph is only relevant because
Explanation of Solution
Given information:
Liam purchased a snow plow for
The number of parking lots mowed is
Thus, its value cannot be negative.
Hence, the only part of the graph that is relevant is the one in the first quadrant.
d.
To find out the total number of parking lot Liam need to plow for his average cost per parking lot is less than $80
d.

Answer to Problem 36PPS
Liam need to plow less than 150 times for his average cost per parking lot to be less than $80
Explanation of Solution
Given information:
Liam purchased a snow plow for
Rational function of average cost per parking lot is
For the cost to be less than $80 the function must be written as,
The obtained function must be solved as,
As
Chapter 9 Solutions
Algebra 2
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