Concept explainers
a.
To determine approximate rate of change in attendance from 2001 to 2005.
a.
Answer to Problem 40PPS
Rate of change is around 1657.
Explanation of Solution
Given information :
The attendance in 2001 was 450,746
The attendance in 2005 was 457,373
Let us take two points on the graph (2001, 450746) and (2005, 457373)
Slope of the line containing these two points shall represent the rate of change.
We know that the slope of a line is given by the formula,
Now,
Therefore rate of change is around 1657.
b.
To determine attendance for 2012.
b.
Answer to Problem 40PPS
The attendance in 2012 shall be 468,973.
Explanation of Solution
Given information :
The attendance in 2001 was 450,746
The attendance in 2005 was 457,373
Let us take two points on the graph (2001, 450746) and (2012, x )
We calculate slope of the equation as 1657.
Hence we get,
Hence the attendance in 2012 shall be 468,973.
c.
To determine if the attendance continue to increase indefinitely.
c.
Answer to Problem 40PPS
No, increase in attendance shall not go to infinity.
Explanation of Solution
Given information :
The attendance in 2001 was 450,746
The attendance in 2005 was 457,373
Maximum attendance shall depend on the capacity of the stadium.
Hence it shall not go to infinity.
d.
To determine if it is reasonable to build a new, larger stadium.
d.
Answer to Problem 40PPS
It shall be profitable to build a large stadium with high capacity to accommodate large audience.
Explanation of Solution
Given information :
The attendance in 2001 was 450,746
The attendance in 2005 was 457,373
Yes, it is. As we determined that the rate of increase of the attendance is very high.
It shall be profitable to build a large stadium with high capacity to accommodate large audience.
Chapter 3 Solutions
Geometry, Student Edition
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