Question

Jada walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water.

c) how many minutes before jada arrived was the water tank completely full?​

Answer 1

• 4.5 minutes

Explanation:

At time zero the level was 7 gallons and at time 3 min, the level was 5 gallons.

Take two points:

• (0, 7) and (3, 5)

Find the rate of change:

• m = (5 - 7)/3 = 2/3

This is a 2 gallons per 3 minutes

Tank holds 10 gallons, it was emptied by 3 gallons and it took:

• 3 : (2/3) = 3* 3/2 = 4.5 minutes