Question

To rent you must give a security deposit in addition before your first monthly rent you have rented an apartment and after 3 months you have paid the landlord a total of 3125 dollars. after 7 months you have paid a total of 6625 dollars.

A) how much is the monthly rate for the apartment.
B)how much was the security
C) write an equation ( in slope intercept form) in this situation

Answer 1

Explanation:

Pick some variables first:

Let x be the amount of monthly rent paid

Let y be the security deposit

Then, write some equations:

Three months rent and the security deposit is $3125...

3x + y = 3125

Seven months rent and the security deposit is $6625...

7x + y = 6625

If you just need to write equations, that's it. But if you need to solve (find the amount of monthly rent and the amount of deposit) then there's a few more steps.

7x + y = 6625

3x + y = 3125

Subtract the bottom equation from the top equation.

4x = 3500

Divide both sides by 4

x = 875 this means the monthly rent was $875

Use this number in either original equation to find the value of y

3x + y = 3125

3*875 + y = 3125

2625 + y = 3125

y = 500

This means that the security deposit is $500