Question 1

Paper 1Easy5 marks

A technician records the volume of water in a reservoir during a filling test.

Time, tt (min)051015
Volume, VV (L)18314356

The technician proposes a linear model V=mt+cV=mt+c

(a)

State one feature of the measurements that supports the use of a linear model.

[1]
(b)

Using the measurements at t=0t=0 and t=15t=15 show that the fitted model is

V=18+3815t.V=18+\frac{38}{15}t.
[2]
(c)

Hence estimate the volume of water after 12 minutes.

[1]
(d)

State whether using the model to predict the volume after 24 minutes is interpolation or extrapolation.

[1]

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