NAME DATE 9.3: Streets and Staffing The Department of Streets ofa city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year. The cost of resurfacing a mile of 2-lane road is estimated at $84.000. The average starting salary of a worker in the department is $36,000 a year.

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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NAME
DATE
PERIOD
9.3: Streets and Staffing
The Department of Streets of a city has a budget of
$1,962,800 for resurfacing roads and hiring
additional workers this year.
The cost of resurfacing a mile of 2-lane road is
estimated at $84.000, The average starting salary of a
worker in the department is $36,000 a year.
1. Write an equation that represents the relationship between the miles of 2-lane roads
the department could resurface, m, and the number of new workers it could hire, p, if
it spends the entire budget.
34,000mt 36,000p= 1,962,800
2. Take the equation you wrote in the first question and:
a. Solve for p. Explain what the solution represents in this situation.
84,000m =
',962,800 -30,000p
1,962,800-36,000P
84,000
b. Solve for m. Explain what the solution represents in this situation.
36,000p= 1,962,800-84,000m
1,962,800- 84,000m
36,000
3. The city is planning to hire 6 new workers and to use its entire budget.
a. Which equation should be used to find out how many miles of 2-lane roads it
could resurface? Explain your reasoning.
6x 36p00 =216,000
84,000 + 21 6000
Cost of resurfacing x miles of 2-lond roads=
b. Find the number of miles of 2-lane roads the city could resurface if it hires 6 new
workers.
3.
© 2019 by Illustrative Mathematics
Transcribed Image Text:NAME DATE PERIOD 9.3: Streets and Staffing The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year. The cost of resurfacing a mile of 2-lane road is estimated at $84.000, The average starting salary of a worker in the department is $36,000 a year. 1. Write an equation that represents the relationship between the miles of 2-lane roads the department could resurface, m, and the number of new workers it could hire, p, if it spends the entire budget. 34,000mt 36,000p= 1,962,800 2. Take the equation you wrote in the first question and: a. Solve for p. Explain what the solution represents in this situation. 84,000m = ',962,800 -30,000p 1,962,800-36,000P 84,000 b. Solve for m. Explain what the solution represents in this situation. 36,000p= 1,962,800-84,000m 1,962,800- 84,000m 36,000 3. The city is planning to hire 6 new workers and to use its entire budget. a. Which equation should be used to find out how many miles of 2-lane roads it could resurface? Explain your reasoning. 6x 36p00 =216,000 84,000 + 21 6000 Cost of resurfacing x miles of 2-lond roads= b. Find the number of miles of 2-lane roads the city could resurface if it hires 6 new workers. 3. © 2019 by Illustrative Mathematics
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