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Algebra Question Word Problem?

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A bank offers two checking plans. The Anywhere plan charges 30 cents per check. The second plan the AccuCheck Plan costs .40 a month, plus 18 cents per check

For what number of checks will the Accucheck plan cost less than the Anywhere plan?

A. More than 20 checks

B. Less than 20 checks,

C. 20 or more checks

D. 20 checks

Explain your answer.

 

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2 Responses to “Algebra Question Word Problem?”

1. 1
   _fatguy Says:
   

   let x be number of checks written
   let y be monthly cost

   plan 1
   y=0.30x

   plan 2
   y = 2.4 + 0.18x

   the break even point is when y1 = y2, so

   0.30x = 2.4 +0.18x
   0.12x = 2.4
   x=20

   so at 20 checks, the plans will cost same, any checks above that will be cheaper with plan 2.
   Answer is A. more than 20

   January 26th, 2010 at 2:12 am
2. 2
   : ) Says:
   

   A. More than 20 checks
   The Accucheck plan would cost less than the anywhere plan more than 20 checks, the point when they both reach 20 checks, as long as it is in one month period, they will be even. After that, the Accucheck plan will start to cost less and less.
   here
   Accucheck: 20 days= 600 cents 30 x 20 = 600
   Anywhere Plan: 20 days = 600 cents 240 + 18 (20) = 600
   That is how I got it, hope it helps! : )

   January 26th, 2010 at 2:12 am

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