Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

One cellular phone carrier charges 26.50 a month plus .15cents a minute. Another carrier charges 14.50 a month plus .25 cents a minute. For how many minutes is the cost of the plans the same? Please show work thanks

Sagot :

anijlin
i'm going to use m for minutes
Cell carrier 1
0.15 per minute (0.15m)
$26.50 first, and then add on for every minute

cost carrier 1 = 0.15m + 26.50

carrier 2
0.25 per minute (0.25m)
$14.50 first, and then add on for every minute. 

cost carrier 2 = 0.25m + 14.50 

to find out when they cost the same, make the two costs equal to each other:

0.15m + 26.50 = 0.25m + 14.50

all that's left is to solve for m

0.15m + 26.50 = 0.25m + 14.50
subtract both sides by 0.15 m
26.50 = 0.2m + 14.50
subtract both sides by 14.50
12 = 0.1 m 
divide both sides by 0.1
m = 120

the phone carriers will have the same cost at 120 minutes
Define the rates of each carrier:

(1) $26.50 + $0.15m
(2) $14.50 + $0.25m

Set the two equations equal to each other and solve for m minutes . . .

26.50 + 0.15m = 14.50 + 0.25m

26.50 - 14.50 = 0.25m - 0.15m

12.00 = (0.25 - 0.15)m

12 = 0.10m

m = 12/0.10 = 120

m = 120 minutes
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.