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.

Respuesta :

Answer:

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

aksnkj

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  

[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]

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

[tex]84000\times m + 3600 \times p = 1,962,800.......(1)[/tex]

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

For more information please refer to the link below

https://brainly.com/question/13911928