In March 2014, a gas company had the rate schedule shown to the right for natural gas usage in single-family residences. (a) What is the charge for using 30 therms in a month? (b) What is the charge for using 200 therms in a month? (c) Develop a function that models the monthly charge C for x therms of gas. (d) Graph the function found in part (c). Monthly service charge Delivery charge First 40 therms $20.45 $0.96902/therm so Over 40 therms Natural gas cost First 40 therms $0.3495/therm Over 40 therms $0.5936/therm (a) The charge for using 30 therms in a month is $ (Simplify your answer. Round to the nearest cent.) (b) The charge for using 200 therms in a month is $. (Simplify your answer. Round to the nearest cent.) O if osxsO O ifx>O (c) C(x) = (Simplify your answers.) (d) Choose the correct graph below. O A. OB. Oc. OD. 300- 300- 300- 300- 150- 150- 150- 150- of O 200 400 Usage (therms) 0- o 200 40 E O 200 400 Usage (therms) O 200 400 C Usage (therms) Usage (therms) arge (dollars) O

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
SectionA.3: Introduction To Functions
Problem 29PS: Suppose you have a job that pays $8.50 per hour and you work anywhere from 10 to 40 hours per week....
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In March 2014, a gas company had the rate schedule shown to the right for natural gas usage in single-family residences.
(a) What is the charge for using 30 therms in a month?
(b) What is the charge for using 200 therms in a month?
(c) Develop a function that models the monthly charge C for x therms of
(d) Graph the function found in part (c).
$20.45
Monthly service charge
Delivery charge
First 40 therms
$0.96902/therm
$0
gas.
Over 40 therms
Natural gas cost
First 40 therms
$0.3495/therm
$0.5936/therm
Over 40 therms
(a) The charge for using 30 therms in a month is $.
(Simplify your answer. Round to the nearest cent.)
(b) The charge for using 200 therms in a month is $
(Simplify your answer. Round to the nearest cent.)
if 0sxs
(c) C(x) = .
if x>
(Simplify your answers.)
(d) Choose the correct graph below.
A.
Ос.
D.
300-
300-
300-
300-
150-
150-
150-
150-
0-
0-
200 400
200 400
200 400
200 400
Usage (therms)
Usage (therms)
Usage (therms)
Usage (therms)
Charge (dollars)
Charge (dollars)
B.
Charge (dollars)
Charge (dollars)
Transcribed Image Text:In March 2014, a gas company had the rate schedule shown to the right for natural gas usage in single-family residences. (a) What is the charge for using 30 therms in a month? (b) What is the charge for using 200 therms in a month? (c) Develop a function that models the monthly charge C for x therms of (d) Graph the function found in part (c). $20.45 Monthly service charge Delivery charge First 40 therms $0.96902/therm $0 gas. Over 40 therms Natural gas cost First 40 therms $0.3495/therm $0.5936/therm Over 40 therms (a) The charge for using 30 therms in a month is $. (Simplify your answer. Round to the nearest cent.) (b) The charge for using 200 therms in a month is $ (Simplify your answer. Round to the nearest cent.) if 0sxs (c) C(x) = . if x> (Simplify your answers.) (d) Choose the correct graph below. A. Ос. D. 300- 300- 300- 300- 150- 150- 150- 150- 0- 0- 200 400 200 400 200 400 200 400 Usage (therms) Usage (therms) Usage (therms) Usage (therms) Charge (dollars) Charge (dollars) B. Charge (dollars) Charge (dollars)
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