a property manager charges $59 per month plus 8% of the rent
Let x be the monthly rent of the property
y be the total monthly fees
(a) Total monthly fees = 8% of rent + 59
8% = 0.08
y = 0.08 x + 59
(b) Jack pays the property manager $165 each month
Monthly fees y = 165, we need to solve for x
y = 0.08 x + 59
165= 0.08x + 59 (subtract 59 on both sides)
106 = 0.08x
So x= 1325, Monthly rent on his property = $1325
(c) jack raises the rent on the house to $1,495
y = 0.08 x + 59
Plug in 1495 for x and find out y
y = 0.08(1495) + 59
y= 178.6
When rent x= 1325 , he paid = $106
When rent is increased to 1495 , he has to pay = $178.6
178.6 - 106 = 72.6
he will pay $72.6 more to the property manager each month
Answer:
A property manager charges $59 per month plus 8% of the rent.
Fixed charge = $5
Let x be the monthly rent
8% of rent = [tex]\frac{8}{100}x=0.08x[/tex]
a)So, an equation to represent the total monthly fees charged by the property manager = [tex]59+0.08x[/tex]
b) if jack pays the property manager $165 each month, what is the monthly rent on his property?
[tex]59+0.08x =165[/tex]
[tex]x =\frac{165-59}{0.08}[/tex]
[tex]x =1325[/tex]
c)if jack raises the rent on the house to $1,495, how much more will he pay the property manager each month?
8% of 1325 = $ 106
8% of 1495 = $119.6
He will pay more = $119.6-$ 106=$13.6
Hence he will pay $13.6 more .
