Concept explainers
a.
Write a function that represents the total monthly cost C(x) of M’s cable package ,where x is the number of additional movies watched.
a.
Answer to Problem 36PPS
Explanation of Solution
Given information: M pays a monthly fee for her cable package which includes
one TV movie a month .M gets billed an additional charge for every additional movie .During her first month ,M watched 5 additional movies and her bill was $135.50.During her second month .M watched 9 additional movies and her bill was $157.50.
Formula used:
The equation of a line in
Slop m is calculated by
Calculation:
If 5 Additional movies costs $157.50,then the function passes through the point (5,135.5).If 9 Additional movies costs $157.50,then the function passes through the point (9,155.50).So equation of the function passes through points (5,135.50) and (9,157.50) is,
b.
Find the inverse function.
b.
Answer to Problem 36PPS
Explanation of Solution
Given information: M pays a monthly fee for her cable package which includes
one TV movie a month .M gets billed an additional charge for every additional movie .During her first month ,M watched 5 additional movies and her bill was $135.50.During her second month .M watched 9 additional movies and her bill was $157.50.
Formula used:
The equation of a line in point-slope form is
Slop m is calculated by
Calculation:
If 5 Additional movies costs $157.50,then the function passes through the point (5,135.5).If 9 Additional movies costs $157.50,then the function passes through the point (9,155.50).So equation of the function passes through points (5,135.50) and (9,157.50) is,
c.
To find x and
c.
Answer to Problem 36PPS
x is the cost and
Explanation of Solution
Given information: M pays a monthly fee for her cable package which includes
one TV movie a month .M gets billed an additional charge for every additional movie .During her first month ,M watched 5 additional movies and her bill was $135.50.During her second month .M watched 9 additional movies and her bill was $157.50.
Formula used:
The equation of a line in point-slope form is
Slop m is calculated by
Calculation:
If 5 Additional movies costs $157.50,then the function passes through the point (5,135.5).If 9 Additional movies costs $157.50,then the function passes through the point (9,155.50).So equation of the function passes through points (5,135.50) and (9,157.50) is,
In the original function x was the number of movies and
d.
To find how many additional movies did M watched if her bill for her third month was $174.
d.
Answer to Problem 36PPS
12 Movies.
Explanation of Solution
Given information: M pays a monthly fee for her cable package which includes
one TV movie a month .M gets billed an additional charge for every additional movie .During her first month ,M watched 5 additional movies and her bill was $135.50.During her second month .M watched 9 additional movies and her bill was $157.50.
Formula used:
The equation of a line in point-slope form is
Slop m is calculated by
Calculation :
If 5 Additional movies costs $157.50,then the function passes through the point (5,135.5).If 9 Additional movies costs $157.50,then the function passes through the point (9,155.50).So equation of the function passes through points (5,135.50) and (9,157.50) is,
Chapter 4 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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