Answer:
70 pounds of blackberries were picked after 14 hours.
Step-by-step explanation:
The amount of blackberries picked varies directly as the number of hours worked. To put this mathematically:
A α H
where A = amount of blackberries picked (in pounds)
H = number of hours worked
Introducing the constant of proportionality:
A = kH
After 10 hours, 50 pounds were picked. This means that:
50 = k * 10
=> k = 50 / 10 = 5 blackberries per hour
This means that 5 pounds of blackberries were picked per hour.
After 14 hours, H = 14 hrs. Hence, A will be:
A = 5 * 14 = 70 pounds of blackberries
Therefore, 70 pounds of blackberries were picked after 14 hours.