Manuel earns $400 per week plus a 3% commission on everything he sells. Write and solve and inequality to find out how much he must sell to have a weekly income of at least $700.
x is how much he needs to sell
Ivan earns $400 per week plus a 3% commission on everything he sells. Write an inequality to determine how much he must sell to have a weekly income of at least $700.
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x is, how much he must sell kiddos
To find out how much Manuel must sell to have a weekly income of at least $700, we can set up an inequality.
Let's say the amount Manuel sells in a week is represented by "x."
The commission Manuel earns on everything he sells is 3% of what he sells, which is 0.03x.
His total income per week, including the $400 base salary, will then be $400 + 0.03x.
To find out how much he must sell to have a weekly income of at least $700, we can write the following inequality:
$400 + 0.03x ≥ $700
Now, let's solve this inequality to find the minimum amount Manuel must sell:
$400 + 0.03x ≥ $700
Subtract $400 from both sides:
0.03x ≥ $300
Divide both sides by 0.03:
x ≥ $300 / 0.03
Simplifying:
x ≥ $10,000
So, Manuel must sell at least $10,000 worth of products to have a weekly income of at least $700.