Answer
a)$t'= -1.6x+11.6$
b)Rate of change is :- $5.2 °F/hr$
c)Instantaneous rate of change is :- $-4.4 °F/hr$
Work Step by Step
$a)$
It is given to us that:
$t(x)=-0.8x^{2}+11.638.2°
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 3 - Determining Change: Derivatives - 3.1 Activities - Page 198: 29
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