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

Step-by-step 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

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have