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son4ous [18]
3 years ago
14

Write an inequality that represents the following problem. There are two cell phone plans available from Cell Phones R Us compan

y. Plan A charges $30 a month plus $0.01 for every text message. Plan B charges $20 a month plus $0.05 for every text message. How many text messages do you need to send in order for Plan A to be cheaper than Plan B?
Mathematics
2 answers:
Sergio [31]3 years ago
3 0
If PLAN A is cheaper than PLAN B then,
P (A) < P (B)
30+0.01t < 20+0.05t      (subtract 0.05t from both sides)
29.95-0.04t < 19.95        (<span>subtract 29.95 from both sides)</span>
-0.04t < -10                      (<span>divide both sides by -0.04)</span>
t > 250
<span>So plan A is cheaper than plan B when you send more than 250 texts.</span>
Hope it helps.




Salsk061 [2.6K]3 years ago
3 0

Answer:

<u><em>Minimum number of messages to be sent is 251 for Plan A to be cheaper than Plan B.</em></u>

Step-by-step explanation:

Let the text messages needed to be sent in order for Plan A to be cheaper than Plan B be N

Therefore total cost of sending text messages in case of Plan A is

C_A=\$ (30+0.01N)

and total cost of sending text messages in case of Plan B is

C_B=\$ (20+0.05N)

Now for Plan A to be cheaper than Plan B , C_A < C_B

\therefore (30+0.01N)< (20+0.05N)=>N> 250

Thus for Plan A to be cheaper than Plan B more than 250 messages needed to be sent . <u><em>Minimum number of messages to be sent is 251 for Plan A to be cheaper than Plan B.</em></u>

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