Question 1151631
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Option A: 25 cents per check, which is the same as $0.25 per check
y = 0.25x is the equation for option A
x = number of checks
y = total cost in dollars


Option B: $6 per month plus 5 cents per check
x = number of checks
0.05*x = cost of writing x number of checks at $0.05 (aka 5 cents) per check
0.05x+6 = total cost after the $6 per month fee is added on
The equation for option B is y = 0.05x+6


Set up the inequality shown below to solve for x. We want to find when option B will cost lest.


(Option A's cost) > (Option B's cost)
0.25x >  0.05x+6
0.25x-0.05x >  6 ....................... subtract 0.05x from both sides
0.20x >  6
x >  6/0.20 ............................ divide both sides by 0.20
x >  30 


If x > 30, then the expression 0.05x+6 is smaller than 0.25x
So if x > 30, then the Simple Checking plan is cheaper.


For instance, if x = 40, then
0.25x = 0.25*40 = 10 is the cost of option A
0.05x+6 = 0.05*40+6 = 2+6 = 8 is the cost of option B
we see that option B is cheaper if x = 40 checks are written.


Answer:
If you write <font color=red size=4>more than 30 checks</font>, then the Simple Checking Plan is the cheaper option.
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