SOLUTION: A telephone company offers two long-distance plans.
Plan A: $25 per month and .05 per minute
Plan B: $5 per month and .12 per minute
For how many minutes of long-distance calls
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-> SOLUTION: A telephone company offers two long-distance plans.
Plan A: $25 per month and .05 per minute
Plan B: $5 per month and .12 per minute
For how many minutes of long-distance calls
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Question 31906This question is from textbook College Algebra
: A telephone company offers two long-distance plans.
Plan A: $25 per month and .05 per minute
Plan B: $5 per month and .12 per minute
For how many minutes of long-distance calls would plan B be finanically advantageous?
Thank you very much! This question is from textbook College Algebra
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Let's call X to the number of minutes of long-distance calls you plan to make.
The cost of plan A is given by
The cost of plan B is given by
Plan B is advantageous when its cost is lower than plan A's. Therefore, we set the inequality
And then solve for X. This will give us the range of minutes for which B is more convenient.
Subtract 5 from both sides of the inequality to get:
Now subtract 0.05X:
Finally, divide by 0.07 to get:
So plan B is advantageous if you plan to use less than 286 minutes of long distance calls.
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