## College Algebra 7th Edition

We know that she earned \$7.50 for the first 35 hours and$1.5*7.50=11.25$for the rest of the hours ($x-35$), where$x$is the total amount of hours worked in the week. Her total earnings were \$352.5: $352.5=7.5*35+11.25*(x-35)$ We solve for the total hours worked, $x$: $x=(352.5-7.5*35)/11.25+35=43$ Thus she worked 43 hours total, or 43-35=8 hours overtime.