To manage a rental property, a property manager charges $59 per month plus 8% of the rent. a) write an equation to represent the total monthly fees charged by the property manager. b) if jack pays the property manager $165 each month, what is the monthly rent on his property? c) if jack raises the rent on the house to $1,495, how much more will he pay the property manager each month?

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 =

                                                   = .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

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