Question

The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all cars, write and solve an inequality to represent the minimum number of cars she must sell in order to be a sales person

Answer 1

`numbers\ of\ cars \geq (75000)/(price\ of\ the\ car)`

Explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

if

12% ⇔ $9000

then

100% ⇔x

the ratio is

`(12)/(9000)=(100)/(x)\\`

Now, solve for x

`(12)/(9000)=(100)/(x)\\\\(12*x)/(9000)=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=(900000)/(12)\\ x=75000\\`

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is
`(75000)/(price\ of\ the\ car) \\`

`(75000)/(price\ of\ the\ car) \\`

now, price of the car* number of the car = 75000

where

`numbers\ of\ cars \geq (75000)/(price\ of\ the\ car)`

Have a nice day