
a.
To write an equation representing the mileage each day as a function of the number of days she rides her bike.
a.

Answer to Problem 23PPS
The required function is m=5000d .
Explanation of Solution
Given information:
The given statement is:
“Marina’s New Year’s resolution is to ride her bike 5000 miles .”
The mileage Marina rides each day is m and the number of days is d .
The equation representing the mileage each day as a function of the number of days she rides her bike can be written as:
m=5000d .
Hence, the required function is m=5000d .
b.
To graph the function.
b.

Explanation of Solution
Given information:
The given function is:
m=5000d
Graph:
This represents a transformation of the graph of f(x)=1x .
a=5000 : The graph is expanded.
h=0 : There is an asymptote at f=0 .
k=0 : There is an asymptote at m=0 .
The graph of the function is:
Interpretation:
The domain of the graph is all real numbers not equal to 0 and the range is all real numbers except 0 .
c.
To calculate how many miles should she ride each day, if she rides her bike every day of the year.
c.

Answer to Problem 23PPS
Marina has to travel 13.7 miles per day.
Explanation of Solution
Given information:
The given statement is:
“Marina’s New Year’s resolution is to ride her bike 5000 miles .”
The function is m=5000d .
Calculation:
The miles travelled per day can be calculated by:
m=5000dm=5000365m=13.7 miles
Hence, Marina has to travel 13.7 miles per day.
Chapter 9 Solutions
Algebra 2
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