Alan has an annual base salary of $14,000. In addition to his salary, he earns 7% of his total sales (S). If he wants to earn at least $49,000 next year, how much does he need to sell?

A. S $650,000

B. S $343,000

C. S $143,430

D. S $500,000

Question

Alan has an annual base salary of $14,000. In addition to his salary, he earns 7% of his total sales (S). If he wants to earn at least $49,000 next year, how much does he need to sell?

 A. S > $650,000 
  
  B. S > $343,000 
  
  C. S > $143,430 
  
  D. S > $500,000

anonymous · Answer

hmm..

Start by writing an equation. You have a base salary of 14,000. You need to add 14,000 AND 7% (0.07) of an unknown Sales (S). What must S be greater than?

anonymous · Answer

To clarify, set this equal to the desired earning (49,000)

mathmale · Answer

I agree.  But first develop a formula which can in turn be set = to 49000.

mathmale · Answer

total income = base income + commission income,

where commission income is 0.07S.  Reread the whole problem statement and then see what you can do towards completiing this equation algebraically.

anonymous · Answer

$$14000 + (0.07)S = 49000$$

mathmale · Answer

Dimensionsx:  Thank you for wanting to help, but kindly do NOT do other people's work for them or give away answers.  Help others to learn how to solve their math problems themselves.

mathmale · Answer

@marieblossom16:  think about how you'd take that "at least" into account when you write your inequality.