Question

Mark earns $560 per week plus a 2% commission on everything he sells. Write and solve an inequality to find out how much he must sell to have a weekly income of at least $720.

Answer 1

Mark must sell at least $8000 to have a weekly income of at least $720.

Step-by-step explanation:

To find out how much Mark must sell to have a weekly income of at least $720, we can set up an inequality. Let x be the amount Mark sells in dollars. Mark's commission on this amount is 2% of x, which is 0.02x. Mark also earns a base salary of $560 per week. So his total income is $560 + 0.02x. We can set up the inequality:

$560 + 0.02x ≥ $720

To solve this inequality, we can subtract $560 from both sides to isolate the variable:

0.02x ≥ $160

Next, we can divide both sides by 0.02 to solve for x:

x ≥ $160 / 0.02 = $8000

Therefore, Mark must sell at least $8000 in order to have a weekly income of at least $720.