SOLUTION: Liza's bucket is full of water and has a leak. The bucket loses 60 ml every 4 minutes. a. Define a variable for the quantity of time elapsed since the bucket started leaking.

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Question 1133136: Liza's bucket is full of water and has a leak. The bucket loses 60 ml every 4 minutes.
a. Define a variable for the quantity of time elapsed since the bucket started leaking.
b. Define a variable for the quantity of water in the bucket.
c. Write an expression for the volume of water that is leaking from the bucket, since the leak began.
d. If the bucket has 100 ml of water when the bucket starts leaking, write an expression for the volume of water in the bucket since the leak began.
e. Write a formula for the volume of water in the bucket in terms of the time elapsed since the bucket started leaking.
f. Sketch a graph of to represent the volume of water in the bucket in terms of the time elapsed since the bucket started leaking.
g. As the number of minutes since the leak began increases from 2 to 4 minutes, how does the volume of water in the bucket change? Represent this change in volume on the graph.
h. How long will it take for the bucket to run out of water?
i. What does the point (2,70) represent in context to this problem?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a) +t+ minutes
(b) +v+ ml
(c) +60%2A%28+t%2F4+%29+
(d) +100+-+60%2A%28+t%2F4+%29+
(e) +v+=+100+-+15t+
I'll skip to (h)
The bucket runs out of water when +v=0+
+0+=+100+-+15t+
+15t+=+100+
+t+=+6+%2B+2%2F3+ min
and +%282%2F3%29%2A60+=+40+ sec
In 6 min 40 sec the bucket is empty
(i) ( 2,70 ) is +t+=+2+ min and +q+=+70+ ml
+70+=+100+-+15%2A2+
+70+=+70+
It is a point on the line
( note: you can draw the line )