Question 146787
To solve this problem, we will first write equations to model both plans.


The Accucheck Plan charges an initial fee of 1.00 and a .25 per check fee.


Accucheck = .25c + 1.00


The Anywhere Plan has no initial fee and charges a .30 per check fee.


Anywhere = .30c


We are asked to find the value at which the Accucheck Plan is the greater deal.
(For values less than, equal to, or greater than twenty)


With these equations, we will plug in test numbers and check the costs of each account.


For choice A, less than twenty checks, we will try ten.


Accucheck = .25(10) + 1.00
Accucheck = 3.5


Anywhere = .30(10)
Anywhere = 3


Since Accucheck is not a better value for less than twenty checks, we move on to choice B, equal to twenty.


Accucheck = .25(20) + 1.00
Accucheck = 6


Anywhere = .30(20)
Anywhere = 6


So exactly twenty checks makes both plans an equal value.  From this, we can see that any value over twenty is going to make the Accucheck Plan better.  


So the answer is C.  For any values over twenty, Accucheck is a better plan.