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Construct a linear model from a description

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
Build and predict from a growing modelPredict with direct proportionNOWMix of allRecommended
Question 1 of 8

Calculator allowed

Let \(V\) represent volume of water in L, and let \(t\) represent filling time in minutes. One unit of \(t\) represents 1 minute

At the start, an irrigation tank contains 310 L. It is filled at a constant rate of 30 L per minute

Fractional input values are permitted within the stated interval

The linear model is claimed for \(0 \le t \le 43\)

(a)2 marks

Record the starting value and the change for one unit of the explanatory variable

\[V=a+bt\]
(b)1 mark

Substitute \(t=3\) and state the predicted volume of water