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?
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.
<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
and total cost of sending text messages in case of Plan B is
Now for Plan A to be cheaper than Plan B ,
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>
The answer t our question is the first one I just substituted he number one in every x The original equation is equal to 147 when x equals to 1 And the first option is also equal to 147 when x equals to one