Question

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. Select all of the equations 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, w, if it spends the entire budget. a \large 84,000m=\frac{1,962,800}{36,000w} b \large \frac{1,962,800+36,000w}{84,000}=m c \large 84,000m-36,000w=1,962,800 d \large \frac{1,962,800-84,000m}{36,000}=w e \large 84,000m+36,000w=1,962,800

Answer 1

d \large \frac{1,962,800-84,000m}{36,000}=

e \large 84,000m+36,000w=1,962,800

Explanation:

Given the following :

Budgeted amount = $1,962,800

Cost of resurfacing a mile of 2- lane road = $84,000

Salary of additional worker = $36,000

Number of miles = m

Number of workers = w

equations 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, w, if it the entire budget is spent ;

(Cost of a mile of 2-lane road * number of miles) = total budget

(84000m + 36000w) = 1,962,800

To make w, the subject of the formula :

36000w = 1962800 - 84000m

w = (1962800 - 84000m) / 36000

To make m, the subject of the formula :

84000m = 1962800 - 36000w

m = (1962800 - 36000w) / 84000