Alan has an annual base salary of $18,000. In addition to his salary, he earns 9% of his total sales (S). If he wants to earn at least $45,000 next year, how much does he need to sell?
A.
S > $450,000
B.
S > $184,050
C.
S > $405,000
D.
S > $300,000

Question

contestada

Respuesta :

absor201 absor201 · Answer 1 · 2019-12-16T16:05:48+01:00

The right answer is Option D: S>$300,000.

Step-by-step explanation:

Given,

Base salary of Alan = $18000

Commission = 9% = [tex]\frac{9}{100} = 0.09[/tex]

Amount Alan wants to earn = $45000 or more

Let,

s be the worth he needs to sell.

Therefore,

Base salary + Commission*Total sales>Amount Alan wants to earn

18000+0.09s>45000

[tex]0.09s>45000-18000\\0.09s>27000[/tex]

Dividing both sides by 0.09

[tex]\frac{0.09s}{0.09}>\frac{27000}{0.09}\\s>300000[/tex]

Alan must sold items that worth at least $300,000.

The right answer is Option D: S>$300,000.

Keywords: inequality, division

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