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.

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.

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 is given as follows  

Equation (1)  is the model equation for the given situation.

According  to  the question

Numbers of  miles of 2 lane road = m

Number of workers that could be hired = p

The cost of resurfacing a mile of 2-lane road is estimated at $84,000. /mile

here m and p are our variables

The average starting salary of a worker in the department is $36,000 /year

The Department of Streets of a city has a budget of $1,962,80.

So the Equation for the budget can be written as

Equation (1) represents One linear equation with two variables.

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84,000 m + 36,000 p = 1,962,800

Step-by-step explanation:

Let m denotes number of miles of 2-lane roads the department could resurface and p denotes number of workers hired by the department of Streets of a city.

The cost of resurfacing a mile of 2-lane road is estimated at $84,000.

So,

Cost of resurfacing m miles of 2-lane road = $84,000 m

The average starting salary of a worker in the department is $36,000  a year

So,

Total salary paid to p workers = $36,000 p

Now, total amount is equal to $1,962,800.

84,000 m + 36,000 p = 1,962,800

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4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: