Respuesta :
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.
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:
Option A is the correct choice.
Step-by-step 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:
[tex]\frac{\text{Commission}}{\text{Listed price}}=\frac{135}{1500}[/tex]
Let us compare our given choices one by one.
A. $36 commission on a $400 dryer.
[tex]\frac{36}{400}=\frac{135}{1500}[/tex]
Upon simplifying our proportion we will get,
[tex]\frac{9}{100}=\frac{9}{100}[/tex]
[tex]0.09=0.09[/tex]
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.
[tex]\frac{40}{500}=\frac{135}{1500}[/tex]
Upon simplifying our proportion we will get,
[tex]\frac{2}{25}=\frac{9}{100}[/tex]
[tex]0.08\neq 0.09[/tex]
We can see that both commission rates are different, therefore, option B is not a correct choice.
C. $210 commission on $1400 oven sale.
[tex]\frac{210}{1400}=\frac{135}{1500}[/tex]
Upon simplifying our proportion we will get,
[tex]\frac{3}{20}=\frac{9}{100}[/tex]
[tex]0.15\neq 0.09[/tex]
Since the commission rates are different, therefore, option C is not a correct choice.
D. $30 commission on a $600 freezer sale.
[tex]\frac{30}{1400}=\frac{135}{1500}[/tex]
Upon simplifying our proportion we will get,
[tex]\frac{3}{140}=\frac{9}{100}[/tex]
[tex]0.0214\neq 0.09[/tex]
Since the commission rates are different, therefore, option D is not a correct choice.
