2.4 Write Equations Of Lines Examples And Worksheet - Chapter 2, Linear Equations And Functions Page 9
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9MIXED REVIEW
MIXED REVIEW
of Problem Solving
of Problem Solving
STATE TEST PRACTICE
Lessons 2.1–2.4
1.
MULTI-STEP PROBLEM
From January to June,
5.
EXTENDED RESPONSE
General admission
the number of visitors to a news website
tickets to a high school football game cost $7,
increased by an average of 1200 per month.
while student tickets cost $4. Ticket sales for a
In January, there were 50,000 visitors to the
game totaled $11,200.
website.
Write an equation that gives the number v
a.
of visitors to the website as a function of the
number t of months since January.
Graph the equation from part (a).
b.
Use the equation from part (a) to predict the
c.
number of website visitors in October.
The official population
2.
MULTI-STEP PROBLEM
of Baton Rouge, Louisiana, was 219,531 in 1990
and 227,818 in 2000.
Write an equation for the possible numbers
a.
of general admission and student tickets
a.
What was the average rate of change in the
that could have been sold for the game.
population from 1990 to 2000?
Graph the equation from part (a).
b.
Write a linear equation that models the
b.
population P of Baton Rouge from 1990 to
c.
Is it possible that 950 general admission
2000. Let t represent the number of years
tickets were sold? Explain.
since 1990.
Find three possible combinations of
d.
Use your equation from part (b) to predict
c.
general admission and student tickets that
the population of Baton Rouge in 2010.
could have been sold. Explain how you
found your answers.
SHORT RESPONSE
The graph shows the
3.
number of representatives in the U.S. Congress
6.
GRIDDED ANSWER
What is the slope of a line
given to Illinois by each national census from
1
parallel to
y 2 3x 5 5?
}
1940 to 2000. Does the graph represent a
4
function? Explain.
What is the slope of a line
7.
GRIDDED ANSWER
perpendicular to the line shown?
Congressional Representatives
from Illinois
y
y
(0, 3)
26
1
24
(5, 0)
1
x
22
20
18
8.
SHORT RESPONSE
Your digital camera has
a 512 megabyte memory card. You take low
0
x
0
10
20
30
40
50
60
resolution pictures requiring 4 megabytes of
Years since 1940
memory each and high resolution pictures
requiring 8 megabytes of memory each.
Write and graph an equation for the possible
a.
Write an equation of a line that
4.
OPEN-ENDED
numbers of low and high resolution pictures
is parallel to the line x 1 3y 5 12 and that
you can take.
contains no points in Quadrant I.
b.
Describe the meaning of the slope and
intercepts in the context of the problem.
106
Chapter 2 Linear Equations and Functions
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