Question

Jada walks up to a tank of water that can hold up to 10 gallons how many more minutes will it take for the tank to drain completely explain or show your reason

Answer 1

7.5 minutes

Explanation:

Given

See attachment for complete question

Let

`t \to time`

`y \to capacity`

From the question, we have the following points

`(t_1,y_1) = (0,7)` --- When he first sees it

`(t_2,y_2) = (3,5)` --- 3 minutes later

First, we calculate the rate (m)

`m = (y_2 -y_1)/(t_2 -t_1)`

`m = (5 -7)/(3 -0)`

`m = -(2)/(3)`

The discharge rate is 2/3 gallons per minute

To calculate the additional minute, we simply consider the capacity of the tank at the later time. i.e. 5 gallons

To calculate time (t), we have:

`Rate * Time = Capacity`

`(2)/(3) * t = 5`

Solve for t

`t = 5 *(3)/(2)`

`t = (15)/(2)`

`t = 7.5`