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1 of 8 0-day streak

Relate graph direction and instantaneous rate

Question 1 of 8

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This piecewise-linear model describes water depth. Time is measured in minutes; the output is measured in centimetres. Straight segments join the exact data points. Work strictly inside the stated segment, not at a corner

\(t\)\(Q(t)\)
\(0\)\(20\)
\(1\)\(18\)
\(3\)\(22\)
\(4\)\(22\)
Piecewise-linear water depth model through (0, 20), (1, 18), (3, 22), (4, 22). Time in minutes; output in centimetres.01234161718192021222324t (minutes)Q (centimetres)
\[t=2\]
(a)1 mark

What is the sign of the instantaneous rate at the stated time?

(b)1 mark

Calculate that instantaneous rate in centimetres per minute