Manuel earns $400 per week plus a 3% commission on
everything he sells. Write and solve an inequality to
determine how much he must sell to have a weekly income
of at least $700. Interpret the solution.
Well, no one responded to me on what I asked, so I figured I would try again.
To solve this problem, we need to set up an inequality that represents Manuel's income.
Let's start with the given information:
- Manuel earns $400 per week.
- He also earns a 3% commission on everything he sells.
Let's represent the amount Manuel sells as "x". The commission he earns on the sales can be found by multiplying the amount sold (x) by 3% (or 0.03).
The total income Manuel earns in a week can be calculated by adding his base salary of $400 to his commission on sales.
So, the inequality representing the problem is:
400 + 0.03x ≥ 700
To solve this inequality, we need to isolate "x" on one side of the inequality. Let's solve it step by step:
400 + 0.03x ≥ 700
Subtract 400 from both sides of the inequality:
0.03x ≥ 300
Divide both sides of the inequality by 0.03 to solve for x:
x ≥ 300 / 0.03
x ≥ 10,000
Now, let's interpret the solution:
The solution to the inequality is x ≥ 10,000. This means that Manuel needs to sell at least $10,000 worth of products in a week to have a weekly income of at least $700.
In other words, if Manuel's sales amount is equal to or greater than $10,000, he will earn at least $700 per week.
same question here: looks like it was your own
https://www.jiskha.com/questions/1805131/Matthew-earns-400-per-week-plus-a-3-commission-on-everything-he-sells-Write-and
There were 5 responses in that link, including your own.
If it was not you, then choose an identifiable name instead of Anonymous.