Nathan earns a fixed pay of $250.25 a week for his normal 30 hours. For each additional hour he works, he receives $9.50.

If he wants to earn at least $312.00 this week, how many extra hours, x, does he need to work in addition to his normal 30 hours?
Make an inequality that represents the amount of hours Nathan must work to earn at least $312.00.

Let x be the number of additional hours Nathan needs to work.

The amount he earns for the additional hours is $9.50 * x.
The total amount he earns for the week is $250.25 + $9.50 * x.
To earn at least $312.00, we can write the inequality:
$250.25 + $9.50 * x ≥ $312.00.