The graph shows the volume of liquid (L litres) in a container at time t seconds - Edexcel - GCSE Maths - Question 12 - 2018 - Paper 3

To find the gradient of the graph, we can use the formula for the gradient (m) which is given by:

$m = \frac{\Delta y}{\Delta x}$

Here, ( \Delta y ) is the change in volume and ( \Delta x ) is the change in time. From the graph, we can see that as time increases from 0 to 8 seconds, the volume increases from 0 to 16 litres. Therefore:

$\Delta y = 16 - 0 = 16 \text{ litres}$ $\Delta x = 8 - 0 = 8 \text{ seconds}$

Substituting these values into the formula gives:

$m = \frac{16}{8} = 2$

Thus, the gradient of the graph is 2 litres per second.