Question

With a base salary of $250 and a commission of 4% of all sales, compute Cindy Nelson’s salary for the following weeks:

Week : 1 2 3 4
Base Salary. $250. $250 $250 $250
Sales. $890. $1,126 $975 $ 824
Commission ? ? ? ?
Total Salary ? ? ? ?

Answer 1

Part 1) The commission is $35.6 and the total salary for week 1 is $285.6

Part 2) The commission is $45.04 and the total salary for week 2 is $295.04

Part 3) The commission is $39 and the total salary for week 3 is $289

Part 4) The commission is $32.96 and the total salary for week 4 is $282.96

Explanation:

Let

x-----> the amount in sales

y----> Cindy Nelson’s salary

we know that

4%=4/100=0.04

so

The linear equation that represent this situation is

y=250+0.04x

case 1) week 1

Sales $890

For x=890

substitute in the linear equation

y=250+0.04(890)

y=250+35.6=$285.6

therefore

The commission is $35.6

The total salary for week 1 is $285.6

case 2) week 2

Sales $1,126

For x=1,126

substitute in the linear equation

y=250+0.04(1,126)

y=250+45.04=$295.04

therefore

The commission is $45.04

The total salary for week 1 is $295.04

case 3) week 3

Sales $975

For x=975

substitute in the linear equation

y=250+0.04(975)

y=250+39=$289

therefore

The commission is $39

The total salary for week 1 is $289

case 4) week 4

Sales $824

For x=824

substitute in the linear equation

y=250+0.04(824)

y=250+32.96=$282.96

therefore

The commission is $32.96

The total salary for week 1 is $282.96