Given
A property manager charges $59 per month plus 8% of the rent
(1 ) First find out equation to represent the total monthly fees charged by the property manager.
To proof
let us assume that x be the total monthly fees charged by the property manager
let y fees charged by the property manager through property.
8 % written in the simpler form = [tex]\frac{8}{100}[/tex]
= .08
equation becomes
.08 y + 59 = x
(2) given
jack pays to property manager $165 each month
Find out monthly rent on property
equation becomes
.08 y + 59 = 165
solving the above equation
we get
.08 y = 165 - 59
.08 y = 106
y = 1325
(3) Given
jack raises the rent on the house to $1,495
find out much more will he pay the property manager each month
when $ 1325 is the rent of the house.
8 % of the rent = .08 × 1325
=$ 106
when $ 1495 is the rent of the house
8% of the rent = .08 × 1495
=$119.6
more pay to the property manager = $ 119.6 - $106
= $13.6
Hence proved
