Approximating a Solution from a Table

Approximately how many hours of operation will result

in a cost of $310,000?

The table below represents the cost, in hundreds of

thousands of dollars, for operating a factory for x hours.

The data is modeled by the function

f (x) = x3-12x2+385x+57.

4.25

4.5

O 4.75

O

Hours

Cost

1 | 2 | 3 | 4

110 156 203 259

| 5

332

O

5.0

Question

Vivian Yang

Mathematics

2 February, 16:36

Approximating a Solution from a Table

Approximately how many hours of operation will result

in a cost of $310,000?

The table below represents the cost, in hundreds of

thousands of dollars, for operating a factory for x hours.

The data is modeled by the function

f (x) = x3-12x2+385x+57.

4.25

4.5

O 4.75

O

Hours

Cost

1 | 2 | 3 | 4

110 156 203 259

| 5

332

O

5.0

+5

Answers (2)

Know the Answer?

Alice Moses · Answer 1

4.75

Step-by-step explanation:

3 (5) + 4 = 19 / 4 = 4.75

4/3 (4.75) ^3 - 15/2 (4.75) ^2 + 355/6 (4.75) + 57

142.90 - 169.21 + 281.04 + 57 = 311.73

Trace Coleman · Answer 2

Answer: 4.75