Homework Help: Math - Word Problem

Posted by Lynn on Wednesday, October 12, 2011 at 1:05am.

Word problems confuse me >_>
You are choosing between two long-distance telephone companies. Company A charges $.09 per minute plus $4 monthly fee. Company B charges $.11 per minute with no monthly fee.
X = number of minutes you call long distance
y = total cost of long distance phone service.
How am I suppose to write two equations representing the cost of each company's service for one month?

Math - Word Problem - Steve, Wednesday, October 12, 2011 at 4:35am
Just take each sentence and figure out what is says algebraically.

Company A: for x minutes, the charge is 9x + 400 cents

Company B: for x minutes, the charge is 11x with no extra fee.

So, which company is cheaper? That obviously will depend on the number of minutes you use.

So, when will A charge more than B?

9x + 400 > 11x
400 > 2x
200 > x

So, if you use less than 200 minutes, A charges more.

At 200 minutes,

9*200 + 400 = 1800+400 = $22.00
11*200 = $22.00

If using more than 200 minutes, A only charges an extra 4 cents/min, while B charges 11 cents/min, so A will be cheaper.

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