Step-by-step explanation:
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.
