Question

A company sells 2,000 pounds of coal for $450. The total amount of coal delivered can vary by as much as 125 pounds. What are the maximum and minimum weights of coal that are delivered?

Answer 1

max:2125 min:1875

Explanation:

|x−2,000|≤125

−125≤x−2,000≤125

1,875≤x≤2,125

Answer 2

Minimum is 1875 while the maximum is 2125 pounds

Explanation:

Since 2000 pounds of coal costs $450,we can estimate the amount of money that a single pound of coal costs.

450/2000 = $0.225

---And it also says that the total amount of coal delivered may vary with a difference of 125 pounds.

We are now asked to fund the minimum weight and the maximum weight in pounds of coal delivered

2000 - 125 = 1875 (minimum weight of coal delivered)

2000 + 125 = 2125 (maximum weight of coal delivered).

We can also decide to calculate the prices of both the maximum amount in weight of coal delivered and the minimum amount delivered.

And if so,we have

Since 0.225 = the cost of a single pound of coal.

Cost of 1875 pound is 1875 × 0.225 = $421.875

And that of 2125 is 2125 × 0.225 = $478.125