Final answer:
To find the ratio of the increase in hours worked from the previous week, subtract the previous week's hours from this week's hours and divide by the previous week's hours. The ratio of the increase of hours Shane worked to the previous week of hours is 1:3.
Step-by-step explanation:
Firstly, to find the increase in hours, we subtract the number of hours worked in the first week from the number of hours worked in the second week: 60 hours (second week) - 45 hours (first week) = 15 hours increase. Next, we set up the ratio of the increase to the previous week of hours: Ratio = Increase in hours / Previous week hours = 15 hours / 45 hours. To simplify, we divide both the numerator and the denominator by the greatest common divisor, which is 15 in this case: 15 hours / 45 hours = 1 / 3. So, the ratio of the increase of hours to the previous week of hours is 1:3.