Question

Chris can be paid in one of two ways. Plan A is a salary of ​$490 per​ month, plus a commission of 9​% of sales. Plan B is a salary of ​$826 per​ month, plus a commission of ​3% of sales. For what amount of sales is Chris better off selecting plan​ A?

Answer 1

Step-by-step explanation:

Step-by-step explanation:

First, when dealing with percents, "Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as

x/100.

The expression for Plan A can be written as:

490+(9/100)s where s is the sales for the month.

The expression for Plan B can be written as:

826+(3/100)s

The question we are being asked is when is Plan A > Plan B. So, we can write and solve this inequality:

490+(9/100)s>826+(3/100)s

490+(9/100)s−490−(3/100)s>826+(3/100)s−490−(3/100)s

490−490+(9/100)s−(3/100)s>826−490+(3/100)s−(3/100)s

0+(9/100)s−(3/100)s>826−490+0

(9/100)s−(3/100)s>826−490

(9/100−3/100)s>336

(6/100)s>336

(100/6)×(6/100)s>(100/6)×336

s> 33600/6

s>5,600

Plan A is better when sales for the month are greater than $5,600.