Question 1

Paper 1Easy7 marks

A technician records the volume, VV of water in a container as it is filled from a tap.

tt (minutes)0246
VV (litres)2.64.05.57.0
(a)

State one feature of the measurements that supports using a linear model for VV

[1]
(b)

Using the measurements at t=0t=0 and t=6t=6 determine the gradient mm and intercept cc of the linear model V(t)=mt+cV(t)=mt+c Hence write down the model.

[3]
(c)

Use your model to estimate the volume at t=5t=5 minutes, giving your answer to the nearest 0.10.1 litre. State whether this prediction involves extrapolation, giving a reason.

[3]

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