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As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills. The following inequality can be used to find the amount of sales Brittany needs to have each month. 1200+0.075x > 3300. What is the solution to the inequality? A. x<28,000 B. x>28,000 C. x<33,750 D. x>33,750

Respuesta :

rodolforodriguezr

Answer:

B) x>28,000

Step-by-step explanation:

if 1,200 + 0.075x >3,300 then

0.075x > 3,300 - 1,200

0.075x > 2,100

x > 2,100/0.075 (the inequality does not change because 0.075>0)

x > 28,000

JeanaShupp

Answer: B. [tex]x>28000[/tex]

Step-by-step explanation:

Given : As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills.

The following inequality can be used to find the amount of sales Brittany needs to have each month.

[tex]1200+0.075x > 3300[/tex]

To solve the above inequality , subtract 1200 from both sides , we get

[tex]0.075x>2100[/tex]

Divide both sides by 0.075 , we get

[tex]x>28000[/tex]   [∵ [tex]\dfrac{2100}{0.075}=\dfrac{2100000}{75}=28000[/tex]]

Hence, the solution to the inequality is [tex]x>28000[/tex].

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