Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 3, Problem 24MCQ

(a)

To determine

For which time period is the rate of change the greatest

(a)

Expert Solution
Check Mark

Answer to Problem 24MCQ

2003-2004 the rate of change in population is greatest.

Explanation of Solution

Given:

The graph shows the population growth in Leesburg, Florida since 2000 .

  Algebra 1, Chapter 3, Problem 24MCQ

Concept Used:

The x -intercepts are where the graph crosses the x -axis, and the y -intercepts are where the graph crosses the y -axis.

Then, algebraically,

  • an x -intercept is a point on the graph where y is zero, and
  • a y -intercept is a point on the graph where x is zero.

More specifically,

  • an x -intercept is a point in the equation where the y -value is zero, and
  • a y -intercept is a point in the equation where the x -value is zero.

Calculation:

In order to find for which time period is the rate of change the greatest.

The graph clearly shows that in the year of 2003-2004 the rate of change in population is greatest.

(b)

To determine

The slope from 2000 to 2006 .

(b)

Expert Solution
Check Mark

Answer to Problem 24MCQ

The slope from 2000 to 2006 is 0.79

Explanation of Solution

Given:

The pair of points, (2000,15), and (2006,19.75)

Concept Used:

The slope of a line connecting the points (x1,y1), and (x2,y2) is given by the formula

  Slope (m)=y2−y1x2−x1

The equation for line is y−y1=m(x−x1)

Calculation:

In order to find the average rate of change the points (2000,15), and (2006,19.75) , use the slope formula and substitute the values (x1,y1)=(2000,15), and (x2,y2)=(2006,19.75) and simplify further as shown below,

  Slope (m)=y2−y1x2−x1=19.75−152006−2000=4.756=0.79

Thus, the slope from 2000 to 2006 is 0.79

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Chapter 3, Problem 23MCQ
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Chapter 3, Problem 1SGR

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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