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tino4ka555 [31]
2 years ago
14

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 complet

ely explain or show your reason
Mathematics
1 answer:
velikii [3]2 years ago
3 0

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

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