SOLUTION: A bathtub is filled with a volume of 30 litres of water. The plug is pulled out and it empties at a rate of 3 litres per second. A) write a rule linking the volume V with the time

Algebra ->  Linear-equations -> SOLUTION: A bathtub is filled with a volume of 30 litres of water. The plug is pulled out and it empties at a rate of 3 litres per second. A) write a rule linking the volume V with the time      Log On


   



Question 1040560: A bathtub is filled with a volume of 30 litres of water. The plug is pulled out and it empties at a rate of 3 litres per second.
A) write a rule linking the volume V with the time T
B) use your rule to find out the volume of water in the bathtub after 2.3 seconds.
C) draw a table of values. You need to determine how many values your table of values needs in relation to this problem
D) draw a graph to show the volume of water overtime
E) using your graph, approximately how much water was in the bathtub after 8 seconds?
F) using your graph, approximately how many seconds have gone by if there is 17L in the bathtub?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A bathtub is filled with a volume of 30 litres of water.
The plug is pulled out and it empties at a rate of 3 litres per second.
A) write a rule linking the volume V with the time T
V = 30 - 3t
B) use your rule to find out the volume of water in the bathtub after 2.3 seconds.
V = 30 - 3(2.3)
V = 30 - 6.9
V = 23.1 liters remain
C) draw a table of values. You need to determine how many values your table of values needs in relation to this problem
It's linear so two values are sufficient
t | V
-------
1 | 27
5 | 15
10 | 0
D) draw a graph to show the volume of water overtime
+graph%28+300%2C+200%2C+-5%2C+14%2C+-10%2C+35%2C+30+-+3x%2C+17%29+
E) using your graph, approximately how much water was in the bathtub after 8
seconds?
looks like 6 liters remain
F) using your graph, approximately how many seconds have gone by if there is 17L in the bathtub? Green line = 17, between 4 and 5 seconds