Archimedes drained the water in his tub. 62.5 liters of water were drained each minute, and the tub was
completely drained after 8 minutes,
graph the relationship between the amount of water left in the tub (in liters) and time (in minutes).
500
water (liters)
450+
400+
350 |
300+
250+
200+
150+
100 +
50
time minutes)

Answers

Let x be time, y be volume
(0,62.5) and (8,0) are the coordinates basically the intercepts
Gradient = 62.5-0/0-8= -7.8125
y=-7.8125x+62.5
Archimedes drained the water in his tub. 62.5 liters of water were drained each minute, and the tub

y = -7.8125x + 62.5

Step-by-step explanation:

x represents the number of minutes

y represents the amount of water left

When x=0 , y= 62.5  so its (0,62.5)

When x= 8, y=0 so its (8,0)

Now we frame equation using y=mx+b

m=\frac{y_2-y_1}{x_2-x_1} =\frac{0-62.5}{8-0} = -7.8125

(0,62.5) is the y intercept , the value of b= 62.5

So equation becomes y = -7.8125x + 62.5

Graph is attached below



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