a. Explanation Given: In 2006, average SAT score was 575. In 2011, average SAT score was 545. Formula Used: Linearly related variables: When two variables are linearly related, the relation between them can be expressed by the equation, y = m x + b Where m is the slope and b is the y-intercept. Slope of a line: Slope of a line passing through the points P ( x 1 , y 1 ) and Q ( x 2 , y 2 ) is given by: m = y 2 − y 1 x 2 − x 1 Point Slope form of a line: y − y 1 = m ( x − x 1 ) Is the point slope form of line with slope m and passes through the point ( x 1 , y 1 ) . Calculations: Let x represents the time measured from 2006 and y represents the average SAT score for a given year. The relation between them is linear, so it can be expressed as: y = m x + b Where m is the slope and b is the y-intercept. It is given that the coordinates ( x 1 , y 1 ) = ( 0 , 575 ) and ( x 2 , y 2 ) = ( 5 , 545 ) satisfy this relation b. To determine To find: The average SAT score in 2024. C. To determine To find: The year in which average SAT score will be 455.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Question

Chapter 1.3, Problem 44PS

To determine

To find: The equation representing the linear relation the average SAT score and the time measured from 2006.

To determine

To find:The average SAT score in 2024.

To determine

To find: The year in which average SAT score will be 455.

Expert Solution & Answer

Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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Prob. 5PE Ch. 1 - Prob. 6PE Ch. 1 - Prob. 7PE Ch. 1 - Prob. 8PE Ch. 1 - Prob. 9PE Ch. 1 - Prob. 10PE Ch. 1 - Prob. 11PE Ch. 1 - Prob. 12PE Ch. 1 - Prob. 13PE Ch. 1 - Prob. 14PE Ch. 1 - Prob. 15PE Ch. 1 - Prob. 16PE Ch. 1 - Prob. 17PE Ch. 1 - Prob. 18PE Ch. 1 - Prob. 19PE Ch. 1 - Prob. 20PE Ch. 1 - Prob. 21PE Ch. 1 - Prob. 22PE Ch. 1 - Prob. 23PE Ch. 1 - Prob. 24PE Ch. 1 - Prob. 25PE Ch. 1 - Prob. 26PE Ch. 1 - Prob. 27PE Ch. 1 - Prob. 28PE Ch. 1 - Prob. 29PE Ch. 1 - Prob. 30PE Ch. 1 - Prob. 1SP Ch. 1 - Prob. 2SP Ch. 1 - Prob. 3SP Ch. 1 - Prob. 4SP Ch. 1 - Prob. 5SP Ch. 1 - Prob. 6SP Ch. 1 - Prob. 7SP Ch. 1 - Prob. 8SP Ch. 1 - Prob. 9SP Ch. 1 - Prob. 10SP Ch. 1 - Prob. 11SP Ch. 1 - Prob. 12SP Ch. 1 - Prob. 13SP Ch. 1 - Prob. 14SP Ch. 1 - Prob. 15SP Ch. 1 - Prob. 16SP Ch. 1 - Prob. 17SP Ch. 1 - Prob. 18SP Ch. 1 - Prob. 19SP Ch. 1 - Prob. 20SP Ch. 1 - Prob. 21SP Ch. 1 - Prob. 22SP Ch. 1 - Prob. 23SP Ch. 1 - Prob. 24SP Ch. 1 - Prob. 25SP Ch. 1 - Prob. 26SP Ch. 1 - Prob. 27SP Ch. 1 - Prob. 28SP Ch. 1 - 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The equation representing the linear relation the average SAT score and the time measured from 2006.

Solution Summary: The author describes the equation representing the linear relation between the average SAT score and the time measured from 2006.

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To find: The equation representing the linear relation the average SAT score and the time measured from 2006.

To find:The average SAT score in 2024.

To find: The year in which average SAT score will be 455.

Chapter 1 Solutions