How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month? Find the rule of the function R(x) that gives the company’s monthly revenue from one customer, where x is the number of therms of gas used. (Hint: R(x) is a piecewise-defined function that has a two-part rule, one part for x < 30 and the other for x > 30.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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The Lacledge Gas Company in St. Louis, Missouri in the winter
of 2012–2013 charged customers $21.32 per month plus
$1.19071 per therm for the first 30 therms of gas used and
$.57903 for each therm above 30.
(a) How much revenue does the company get from a customer
who uses exactly 30 therms of gas in a month?
(b) Find the rule of the function R(x) that gives the company's
monthly revenue from one customer, where x is the number
of therms of gas used. (Hint: R(x) is a piecewise-defined
function that has a two-part rule, one part for x < 30 and
the other for x > 30.)
Transcribed Image Text:The Lacledge Gas Company in St. Louis, Missouri in the winter of 2012–2013 charged customers $21.32 per month plus $1.19071 per therm for the first 30 therms of gas used and $.57903 for each therm above 30. (a) How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month? (b) Find the rule of the function R(x) that gives the company's monthly revenue from one customer, where x is the number of therms of gas used. (Hint: R(x) is a piecewise-defined function that has a two-part rule, one part for x < 30 and the other for x > 30.)
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