Question

Paige has set a goal to earn at least $220 from her part time sales job this month. she earns $20 regardless of what she sells for the month and then 20% Commission on all product sales. Write inequalities that can be used to determine X the amount of product sales Paige needs to make her goal for the month.

Answer 1

The required inequality is;

0.2·X + 20 > 220

Explanation:

The parts of the required inequality are;

The goal amount Paige set to earn for the month = At least $220

The amount she earns regardless of what she sells = $20

The percentage commission she gets for all product sales = 20%

Given that 'X' represent the amount of product sales Paige makes, we have;

The amount Paige makes in a month, A = 20% × X + 20 = 0.2·X + 20

Therefore, given that Paige's goal is to earn at least $220 from her part time sales in the current month, we get the inequality that can be used to determine the value of 'X' Paige needs to make are goal as follows;

A = 0.2·X + 20 > 220

The required inequality = 0.2·X + 20 > 220

∴ X > (220 - 20)/0.2 = 1,000

From which we get;

The amount of product sales Paige needs to make her goal, X > 1,000.