Matthew 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.
hint: remember that 3% is 0.03 and he earns 400 + 0.03
WHat do you think?
use the same basic equation i replied with for this one but use this set if numbers. its almost exactly the same question.
would the answer be:
400+0.03c ≥ 700
0.03 ≥ 300?
What happened to your variable?
Oh,
0.03c ≥ 300?
To determine how much Matthew must sell to have a weekly income of at least $700, we can set up an inequality.
Let's let x be the amount that Matthew sells in dollars.
The total income Matthew earns per week is calculated by adding his fixed weekly salary of $400 to his commission on sales. Since he earns a 3% commission on everything he sells, the commission he earns can be written as 0.03x.
So the total income Matthew earns in a week is given by: 400 + 0.03x.
To determine how much he must sell to have a weekly income of at least $700, we can set up the following inequality:
400 + 0.03x ≥ 700
To solve this inequality, we can subtract 400 from both sides of the equation:
0.03x ≥ 300
Now, to isolate x, we divide both sides of the equation by 0.03:
x ≥ 300 / 0.03
Simplifying the division:
x ≥ 10,000
Therefore, the solution to the inequality is x ≥ 10,000.
Interpreting the solution:
The solution of x ≥ 10,000 means that Matthew must sell at least $10,000 worth of products per week in order to have a weekly income of at least $700, considering his fixed salary of $400 and the 3% commission on everything he sells.