Question

You earn $900 per week and earn a 5% commission on sales each week. What are the possible amounts (in dollars)that you must sell each week to earn at least $1050 per week? Write a linear inequality and solve.

Answer 1

$3000 or more

Step-by-step explanation:

Amount earned weekly = $900

let the number of sales = y

Amount in commission per sales = 5% = 0.05

At least $1050 means the minimum amount of sales per week:

It is represented as ≥ 1050

The linear inequality:

Amount earned weekly + Amount in commission per sales(number of sales) ≥ 1050

900 + 0.05(y) ≥ 1050

900 + 0.05y ≥ 1050

subtract 900 from both sides:

900 - 900 + 0.05y ≥ 1050 - 900

0.05y ≥ 150

divide both sides by 0.05:

0.05y/0.05 ≥ 150/0.05

y ≥ 3000

Hence, the possible amounts (in dollars) that you must sell each week to earn at least $1050 per week is $3000 or more (atleast $3000)