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?
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To find out how many extra hours Nathan needs to work in addition to his normal 30 hours in order to earn at least $312, we can set up the following equation:
250.25 + 9.50x ≥ 312
First, we subtract $250.25 from both sides of the inequality:
9.50x ≥ 61.75
Next, we divide both sides by $9.50 to solve for x:
x ≥ 6.50
Since Nathan cannot work a fraction of an hour, he will need to work at least 7 extra hours in addition to his normal 30 hours in order to earn at least $312 this week.
So, Nathan needs to work at least 7 extra hours this week.