Your paycheck varies directly with the number of hours you work each week. one week you worked 20 hours and received $110 as your gross salary. in this direct variation problem, what is your constant of variation?

The constant of variation the question is asking for is basically your hourly rate. You get $110 for working 20 hours, so set up a proportion like this: 110/20 = x/1 where x is the amount you earn per hour of working. Use algebra to solve: 110 = 20x → x = 5.5 which means that your hourly rate (or constant of variation) is 5.5 (or $5.50)