the table below shows the earnings, in thousands of dollars, for three different commissioned employees…

the table below shows the earnings, in thousands of dollars, for three different commissioned employees. employee #1 $2,000 + 3% on all sales employee #2 7% on all sales employee #3 5% on the first $40,000 + 8% on anything over $40,000 december 4.4 5.6 5.2 january 3.5 3.85 3.6 february 4.7 4.9 4.4 which employee did not have the same dollar amount in sales for the month of february as the other two employees? a. employee #1. b. employee #2 c. employee #3 d. they each had the same dollar amount in sales.

the table below shows the earnings, in thousands of dollars, for three different commissioned employees. employee #1 $2,000 + 3% on all sales employee #2 7% on all sales employee #3 5% on the first $40,000 + 8% on anything over $40,000 december 4.4 5.6 5.2 january 3.5 3.85 3.6 february 4.7 4.9 4.4 which employee did not have the same dollar amount in sales for the month of february as the other two employees? a. employee #1. b. employee #2 c. employee #3 d. they each had the same dollar amount in sales.

Answer

Explanation:

Step1: Set up equation for Employee #1

Let $x$ be the sales amount. Earnings formula is $E = 2000+0.03x$. In February, $E = 4700$ (in thousands), so $4700=2000 + 0.03x$. Solving for $x$: $0.03x=4700 - 2000$ $0.03x = 2700$ $x=\frac{2700}{0.03}=90000$ (in thousands).

Step2: Set up equation for Employee #2

Earnings formula is $E = 0.07x$. In February, $E = 4900$ (in thousands), so $4900=0.07x$. Solving for $x$: $x=\frac{4900}{0.07}=70000$ (in thousands).

Step3: Set up equation for Employee #3

Let $x$ be the sales amount. If $x\leq40000$, $E = 0.05x$. If $x>40000$, $E=0.05\times40000+0.08(x - 40000)$. In February, $E = 4400$ (in thousands). Since $0.05\times40000=2000$, and $4400>2000$, we use $4400=2000+0.08(x - 40000)$. $4400-2000=0.08(x - 40000)$ $2400=0.08(x - 40000)$ $\frac{2400}{0.08}=x - 40000$ $30000=x - 40000$ $x = 70000$ (in thousands).

Answer:

a. Employee #1