Question

The number of tons of rock, t, mined from a quarry depends on the number of workers, w. The equation below models the relationship. t = 184w + 852 How many workers will it take to mine 4,900 tons of rock?

A. 14
B. 22
C. 28
D. 31​

Answer 1

To mine 4,900 tons of rock according to the equation t = 184w + 852, it requires solving for w, which gives approximately 22 workers. The correct option is B.

Step-by-step explanation:

To mine 4,900 tons of rock according to the equation t = 184w + 852, it requires solving for w, which gives approximately 22 workers.

The student is asking how many workers it will take to mine 4,900 tons of rock, based on the equation t = 184w + 852, where t represents tons of rock and w represents the number of workers.

To find the number of workers needed, we need to solve for w when t is 4,900.

First, subtract 852 from each side of the equation:

4900 - 852 = 184w

This simplifies to:

4048 = 184w

Next, divide both sides by 184 to isolate w:

w = 4048 / 184

Calculating this gives us:

w ≈ 22

Therefore, it will take 22 workers to mine 4,900 tons of rock.