Question

The amount of blackberries picked, in pounds, varies directly as the number of hours worked. After 10 hours, 50 pounds were picked. How many blackberries were picked, in pounds, after 14 hours? Do not include units in your answer.

Answer 1

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.