A forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9/sqrt{t} acres per hour, where t is in hours. how many acres are covered 16 hours later?

To solve this problem you must apply the proccedure shown below:

1. You have that the forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9√t acres per hour. Therefore, you have:

1600+∫ (9√t) dt (from 0 to 16)

2. Then, when you solve it, you obtain:

1600+6t^3/2=1984

3. Therefore, as you can see, the answer is: 1984 acres.