Direct Variation - HELP PLEASE ASAP!

Question

The amount of money you earn varies directly with the number of hours you work you work for six hours and earn $43.50 how many hours do you need to work to earn $246.50?

we are using direction variation.

Answer 1

When you have direct variation, the best way to do calculations is find the 'rate'. In this example, 6 hours of work earned you $43.50. This means for each hour worked, you earned $43.50/6 = $7.25

Your rate of earning is $7.25 per hour. To earn $246.50, you will have to work 246.50/7.25 = 34 hours.

You can also solve this by setting up a ratio equation as follows:

$43.50 = $246.50

6 hours X hours

Solving for X, will give you X = 34 hours