Question

Water is flowing into a water tank at the rate of 10 cubic centimeters per second. If the vo lume of water collected in t seconds is V cubic centimeters, write a linear equation to represent the above staterment. (i) Draw the graph of the linear equation. (ii) From the graph find the volume of water collected in the tank after 4 seconds.

Answer 1

The linear equation to represent this relationship is :

V is a function of time.

Every one second we have 10cm³ flowing in.

So at any t second the amount we have is :

V(t) = 10t

To plot a graph we can have values of t from 0 to 5

When t = 0    V = 0

When t = 1      V = 10

When t = 2     V = 20

When t = 3     V = 30

When t = 4    V = 40

When t = 5    V = 50

V will be on the y axis and the values of t will be on the x axis since V is a function of t.

V is in cm³ and t is in seconds

Therefore when we plot these points on the graph we get a straight line passing through the origin.

The value of V at time 4 seconds is thus :

= 40 cm³

Answer 2

Answer:

40 cm^3 is the answer

hope this answer helps you..

thank u for points..