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It will take 20 months for the cost to be same.
Step-by-step explanation:
Apartment A;
Security deposit = $1000
Each month cost = $1200
Let,
x be the number of months.
A(x) = 1000 + 1200x
Apartment B;
Security deposit = $1500
Each month cost = $1175
B(x) = 1500 + 1175x
The cost will be same when the functions are equal, therefore,
A(x) = B(x)
Dividing both sides by 25
It will take 20 months for the cost to be same.
Keywords: function, division
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