Let the height in feet of an object be f (t) = –t² + 15t – 7. What is the instantaneous rate of change of the object at t = 10 seconds? %3D -5 feet per second O 5 feet per second O 8 feet per second 10 feet per second

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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Let the height in feet of an object be f (t) = –t² + 15t – 7.
What is the instantaneous rate of change of the object att = 10 seconds?
-5 feet per second
5 feet per second
8 feet per second
10 feet per second
Transcribed Image Text:Let the height in feet of an object be f (t) = –t² + 15t – 7. What is the instantaneous rate of change of the object att = 10 seconds? -5 feet per second 5 feet per second 8 feet per second 10 feet per second
A cube is shown with all sides equal to x. Let x change with respect to t such that x(t) = 3t - 2.
What is the formula for the rate of change of the volume of the cube?
The rate of change of V(t) is V'(t) = 3(3t – 2)².
The rate of change of V(t) is V'(t) = -9(3t – 2)².
The rate of change of V(t) is V'(t) = 27(3t – 2)².
O The rate of change of V(t) is V' (t) = 9(3t – 2)².
Transcribed Image Text:A cube is shown with all sides equal to x. Let x change with respect to t such that x(t) = 3t - 2. What is the formula for the rate of change of the volume of the cube? The rate of change of V(t) is V'(t) = 3(3t – 2)². The rate of change of V(t) is V'(t) = -9(3t – 2)². The rate of change of V(t) is V'(t) = 27(3t – 2)². O The rate of change of V(t) is V' (t) = 9(3t – 2)².
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