The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (In kilometers per hour) Is the distance R (In meters) the car travels during the reaction time of thedriver plus the distance B (In meters) the car travels after the brakes are applled (see figure). The table shows the results of the experiment. (Round your coefficlents to 3 decimalplaces.)ReactionBrakingtimedistanceRBDriver seesDriver appliesbrakesCarobstaclestopsSpeed, v20406080100Reaction TimeDistance, R8.1 16.5 24.8 33.1 41.5Braking Time 21l 8.8 20.0 35.6 55.7Distance, 8(a) Use the regresslon capablitles of a graphing utlity to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.)R(V) -(b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.)B(v) =(c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.)T(V) =

Consider the given table, Let, the linear regression model for Rv be, Rv=a+bv By using graphing…

The stopping distance of an automoble, on dry, level pavement, traveling at a speed v (In kilometers per hour) Is the distance R (In meters) the car travels during the reaction time of the driver plus the distance B (In meters) the car travels after the brakes are applied (see figure). The table shows the results of the experiment. (Round your coefficlents to 3 decimal places.) Reaction Braking distance time B Driver applies Driver sees obstacle Car brakes stops Speed, v 20 40 60 8o 100 Reaction Time8116.5 24.8 33.1 41.5 Distance, R Braking Time2.1 8.8 20.0 35.6 55.7 Distance, B (a) Use the regression capablitles of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.) R(v) = (b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.) B(v) = (c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.) T(V) =

The stopping distance of an automoble, on dry, level pavement, traveling at a speed v (In kilometers per hour) Is the distance R (In meters) the car travels during the reaction time of the driver plus the distance B (In meters) the car travels after the brakes are applied (see figure). The table shows the results of the experiment. (Round your coefficlents to 3 decimal places.) Reaction Braking distance time B Driver applies Driver sees obstacle Car brakes stops Speed, v 20 40 60 8o 100 Reaction Time8116.5 24.8 33.1 41.5 Distance, R Braking Time2.1 8.8 20.0 35.6 55.7 Distance, B (a) Use the regression capablitles of a graphing utility to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.) R(v) = (b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.) B(v) = (c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.) T(V) =

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.1: Modeling The Real World With Algebra

Problem 23E: Grade Point Average In many universities students are given grade points for each credit unit...

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Question

The stopping distance of an automobile, on dry, level pavement, traveling at a speed v (In kilometers per hour) Is the distance R (In meters) the car travels during the reaction time of the
driver plus the distance B (In meters) the car travels after the brakes are applled (see figure). The table shows the results of the experiment. (Round your coefficlents to 3 decimal
places.)
Reaction
Braking
time
distance
R
B
Driver sees
Driver applies
brakes
Car
obstacle
stops
Speed, v
20
40
60
80
100
Reaction Time
Distance, R
8.1 16.5 24.8 33.1 41.5
Braking Time 21l 8.8 20.0 35.6 55.7
Distance, 8
(a) Use the regresslon capablitles of a graphing utlity to find a linear model for the reaction time distance R. (Round numerical values to four decimal places.)
R(V) -
(b) Use the regression capabilities of a graphing utility to find a quadratic model for braking distance B. (Round numerical values to four decimal places.)
B(v) =
(c) Determine the polynomial giving the total stopping distance T. (Round numerical values to four decimal places.)
T(V) =

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Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A4 points B3 points C2 points D1 points F0 points For example, a grade of A in a 3-unit earns 43=12 grade points and grade points and a grade of B in a 5-unit course earns 35=15 grade points. A student’s grade point average (GPA) for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)/8=3.375 . (a) Find a formula for a GPA of a student who earns a grade A in a units of course work, B in b units; C in c units, D in d units, and F in f units. (b) Find a GPA of a student who has earned a grade of A in two-units courses. B in one 4-unit course, and C in three 3-unit courses.