Question

Mark earns $135 for selling a $1500 refrigerator. Which sale listed has the same commission rate? $36 commission on a $400 dryer or B) $40 commission on a $500 dryer sale C) $210 commission on $1400 oven sale d) $30 commission on a $600 freezer sale?

salelisted has the same commssion rate. ?

Answer 1

The answer is A

36/400 * 3.8 = 136.6/1520
40/500 * 3 = 120/1500
210/1400 (not even close)
30/600 * 3 = 90/1800 (not even close)

so the two answer choices that are close are A and B, A has the closest numbers to the original commission rate.

Answer 2

Option A is the correct choice.

Explanation:

We have been given that Mark earns $135 for selling a $1500 refrigerator.

Since proportions states that two fractions are equal , so we will use proportions to find the same commission rate with the listed price from our given choices.

We can set proportion for commission and listed price as:

`\frac{\text{Commission}}{\text{Listed price}}=(135)/(1500)`

Let us compare our given choices one by one.

A. $36 commission on a $400 dryer.

`(36)/(400)=(135)/(1500)`

Upon simplifying our proportion we will get,

`(9)/(100)=(9)/(100)`

`0.09=0.09`

We can see that commission rates for both items are equal, therefore, option A is the correct choice.

B. $40 commission on a $500 dryer sale.

`(40)/(500)=(135)/(1500)`

Upon simplifying our proportion we will get,

`(2)/(25)=(9)/(100)`

`0.08\\eq 0.09`

We can see that both commission rates are different, therefore, option B is not a correct choice.

C. $210 commission on $1400 oven sale.

`(210)/(1400)=(135)/(1500)`

Upon simplifying our proportion we will get,

`(3)/(20)=(9)/(100)`

`0.15\\eq 0.09`

Since the commission rates are different, therefore, option C is not a correct choice.

D. $30 commission on a $600 freezer sale.

`(30)/(1400)=(135)/(1500)`

Upon simplifying our proportion we will get,

`(3)/(140)=(9)/(100)`

`0.0214\\eq 0.09`

Since the commission rates are different, therefore, option D is not a correct choice.