To calculate the location after 8 hours of digging at different rates, you can sum up the distances they dug during each time period.
In the first 3 hours, they dug at a rate of -2.5 feet per hour, so they dug a total of:
3 hours * (-2.5 feet/hour) = -7.5 feet
In the next 2 hours, they dug at a rate of -2.25 feet per hour, so they dug a total of:
2 hours * (-2.25 feet/hour) = -4.5 feet
Now, add these two distances together to find their location after 8 hours:
-7.5 feet + (-4.5 feet) = -12 feet
So, they would record a location of -12 feet after 8 hours of digging.