Lesson 9 Make A Graph Worksheet - Unit 3 - Using Algebra Page 3

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Solve the problem.
1
A public works department of a city employs 30 people.
e
population of the city is 10,000.
e department has found that it
needs 1 additional employee for every additional 500 people who
live in the city. What will be the population of the city when 100
employees are needed? Give your answer to the nearest 5,000 people.
Mark
Mark
Read the Problem and Search for Information
the Text
the Text
Mark any information that will help you solve this problem.
Decide What to Do and Use Your Ideas
You can use the strategy Make a Graph to solve the problem.
Step 1
Make a table to organize the data.
Population (thousands)
10
20
Employees
30
Ask
Step 2
Public Works
Plot the points. Draw a line
Yourself
Employees
through the points.
110
100
If 1 additional
90
Step 3
Find where the line shows
employee is needed
80
70
100 employees.
e population
for each additional
60
500 people, how
50
that corresponds to that point
40
many additional
30
is about
.
employees are
20
10
needed for each
0
additional 5,000
10
20
30
40
50
So the city will need 100 employees when
Population
people?
it has a population of about
(thousands)
people.
Review Your Work
Make sure you have rounded your answer to the nearest 5,000.
Recognize
Why is making a graph a good strategy to solve this
problem?
86
Unit 3 Using Algebra

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