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Abraham brags, "my cell phone plan is the best! I pay just 25$ per month, and then $.10 per minute" Abbott quickly counters, "Well my cell phone plan is even better! I only pay $20 per month and then $.12 per minute." Who has the better cell phone plan?

Guest May 19, 2017
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Let x be the number of minutes that equalize the cost of both plans

 

So  we have

 

25   + .10x   =  20   + .12x         subtract  .10x, 20 from both sides

 

5   =  .02 x

 

5 =  (2 /100) x       reduce the fraction

 

5  =  (1/50) x       multiply both sides  by 50

 

250 =  x    =    the number of minutes that equalize the cost of both plans

 

Comparing the slopes of  .10  and .12.......the plan that costs $20 per month and 12 cents per minute is cheaper if the number of minutes < 250......after 250 minutes, the other plan is better

 

 

cool cool cool

CPhill  May 19, 2017

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