Aleya has 2 employment opportunities. Co. A offers a yearly salary of $31k. Co. B offers a yearly salary of $27k plus a 2.5% commission on her total sales for the year.
A. Let x rep. her total sales for the year at co. B. Write an expression to rep. the total income after 1 year with co. B.
B. Use that expression to write an inequality that can be solved to determine the amount of sales for which the yearly income at Co. A would be more then that at Co. B.
C. Solve the inequality
D. How much more would she make at Co. B after a year if her sales for the year were $200,000?

Question

Aleya has 2 employment opportunities. Co. A offers a yearly salary of $31k. Co. B offers a yearly salary of $27k plus a 2.5% commission on her total sales for the year. 
A. Let x rep. her total sales for the year at co. B. Write an expression to rep. the total income after 1 year with co. B. 
B. Use that expression to write an inequality that can be solved to determine the amount of sales for which the yearly income at Co. A would be more then that at Co. B. 
C. Solve the inequality 
D. How much more would she make at Co. B after a year if her sales for the year were $200,000?

anonymous · Answer

A) $27k+x*2.5/100

anonymous · Answer

A>B
$31k>2$27k+x*2.5/100

anonymous · Answer

C)
$31k>2$27k+x*2.5/100
4>2.5x/100
400>2.5x
400>25x/10
4000>25x
160>x or 
x<160

anonymous · Answer

edit 
A>B
$31k>$27k+x*2.5/100

anonymous · Answer

$27k+x*2.5/100
27+200,000*2.5/100
32000