Question

A basketball player predicted that his team would only score 87 points during the game, but the team scored 102 points during the game. Which of the following equations correctly solves for the percent error?

Answer 1

The basketball player's prediction was off by approximately 14.71%, which is calculated using the provided values in the percent error formula.

Step-by-step explanation:

The percent error in the basketball player's prediction can be calculated using the formula:

Percent Error = \(|\frac{{Actual Value - Predicted Value}}{{Actual Value}}| \times 100\)

In this case:

• Actual Value (A) = 102 points
• Predicted Value (P) = 87 points

Substituting the values into the formula:

Percent Error = \(|\frac{{102 - 87}}{{102}}| \times 100\) = \(|\frac{{15}}{{102}}| \times 100\)

Percent Error = |0.1471 \times 100|

Percent Error = 14.71%

Therefore, the player's prediction was off by approximately 14.71%.