SOLUTION: with plan A, the charge is $7.50 a month with no fee for each check written. with plan b, the charge is $3 a month, plus an additional 20 cents for each check written. what is the

Question 1006805: with plan A, the charge is $7.50 a month with no fee for each check written. with plan b, the charge is $3 a month, plus an additional 20 cents for each check written. what is the least number of checks a customer must write each month in order for plan A to cost less than plan B?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
n=number of checks; m=monthly fee; c=charge per check
.
cost of plan=m+cn
.
Plan A=$7.50+(0)n
Plan B=$3.00+$0.20n
.
When they cost the same, Plan A=Plan B:
$7.50+(0)n=$3.00+$0.20n
$7.50=$3.00+$0.20n
$4.50=$0.20n
22.5=n
The cost is the same when 22.5 checks are written,
so the fewest checks you must write for Plan A to
be less expensive is 22.5.

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