3-98. Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years will you have to wait to start saving money overall?
3-98. Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years will you have to wait to start saving money overall?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
Problem 30PPS
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Question
3-98 a and b
Transcribed Image Text:3-98.
Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the
Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is
less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy
X2000 costs only $40 per month to operate.
a. Write an equation to represent the cost of buying and
operating the Super Cool X1400 where C= cost
and m= months.
b. Write an equation to represent the cost of buying and
operating the Efficient Energy X2000.
c. How many months would your family have to use the
Efficient Energy model to compensate for the additional
cost of the original purchase?
d. Figuring your family will only use the air conditioner
for four months each year, how many years ill you
have to wait to start saving money overall?
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