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

Answer:

7.5 minutes

Step-by-step 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)

$m = \frac{y_2 -y_1}{t_2 -t_1}$

$m = \frac{5 -7}{3 -0}$

$m = -\frac{2}{3}$

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:

$Rate * Time = Capacity$

$\frac{2}{3} * t = 5$

Solve for t

$t = 5 *\frac{3}{2}$

$t = \frac{15}{2}$

$t = 7.5$