can someone please help me to writ an inequality for this wor problem? Mr.Kirkland receives $13/hr. for regular time (8hr./day) and double pay for working on holidays. He worked on Friday even though it was a holiday. If his week's pay was at least $650, how many hours did he work on Friday?
If he worked 8 hours a day for 5 days, he made $520.
650 - 520 = 130
130 / 26 = 5 hours on Friday
thanks Ms.Sue i have that answer but im having problems with writing the inequality
can you please show me the steps
please show me steps for writing the inequality
To write an inequality for this word problem, we need to determine the number of hours Mr. Kirkland worked on Friday. Let's denote the number of hours he worked on Friday as "x."
According to the given information, Mr. Kirkland receives $13/hour for regular time (8 hours per day) and double pay for working on holidays. So, his pay for regular time is 8 * $13 = $104 per day.
Since Friday was a holiday and he worked on it, his pay for that day will be double, which means it will be 2 * $104 = $208.
We can set up the following inequality to represent his weekly pay being at least $650:
Regular pay + Holiday pay ≥ $650
Mr. Kirkland's regular pay for the week will be 8 hours/day * $13/hr * 5 days = $520.
Substituting the regular and holiday pay into the inequality, we get:
$520 + $208 ≥ $650
Simplifying the inequality, we have:
$728 ≥ $650
Since $728 is indeed greater than $650, the inequality is true.
To answer the question, we need to solve for the number of hours Mr. Kirkland worked on Friday. So, in the inequality, replace the holiday pay with the double pay for x hours worked on Friday:
$520 + 2x ≥ $650
Now, we can solve the inequality to find the minimum value of x.
$520 + 2x ≥ $650
2x ≥ $650 - $520
2x ≥ $130
x ≥ $65
Therefore, Mr. Kirkland worked at least 65 / $13 = 5 hours on Friday.