Speedometer readings for a motorcycle at 12-second intervals are given in the table. 0 12 24 36 48 60 t (s) v (ft/s) 30 27 24 21 24 27 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft (b) Give another estimate using the velocities at the end of the time periods. ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t. O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section10.1: Graphing Square Root Functions
Problem 46E
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Speedometer readings for a motorcycle at 12-second intervals are given in the table.
t (s)
0 12 24 36 48 60
v (ft/s) 30 27 24 21 24 27
(a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals.
ft
(b) Give another estimate using the velocities at the end of the time periods.
ft
(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
(a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.
(b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
Transcribed Image Text:Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24 36 48 60 v (ft/s) 30 27 24 21 24 27 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft (b) Give another estimate using the velocities at the end of the time periods. ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t. O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
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