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You are seeking to be emancipated from your parents. You are
looking for an apartment. There are two final choices.
Apartment A has a $1000 security deposit and costs $1200 each
month. Apartment B has a $1500 and costs $1175 each month.
How many months, m, will it take for the costs to be the same?

Respuesta :

absor201

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)

[tex]1000+1200x=1500+1175x\\1200x-1175x=1500-1000\\25x=500[/tex]

Dividing both sides by 25

[tex]\frac{25x}{25}=\frac{500}{25}\\x=20[/tex]

It will take 20 months for the cost to be same.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/5461619
  • brainly.com/question/5510873

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