Aatikah plans to buy books at a book fair. She thinks she will need $30.00 ro purchase the books. She only spends $19.75. Find the percent error in her prediction.

Question

Aatikah plans to buy books at a book fair. She thinks she will need $30.00 ro purchase the books. She only spends $19.75. Find the percent error in her prediction.

Answer 1

To find the percent error in Aatikah's prediction, we can use the formula:

Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) * 100%

In this case, the experimental value is $19.75 (the amount Aatikah actually spent), and the theoretical value is $30.00 (the amount she predicted to spend).

Substituting these values into the formula, we get:

Percent Error = (|19.75 - 30.00| / 30.00) * 100%

Simplifying this expression, we have:

Percent Error = (10.25 / 30.00) * 100%

Calculating the value:

Percent Error = 0.342 * 100% = 34.2%

Therefore, the percent error in Aatikah's prediction is 34.2%.

Answer 2

To find the percent error in Aatikah's prediction, we'll need to calculate the difference between her predicted amount and the actual amount she spent, and then find the percentage of that difference relative to her predicted amount.

First, we calculate the difference between her predicted amount and the actual amount she spent:

Difference = Predicted amount - Actual amount
Difference = $30.00 - $19.75
Difference = $10.25

Next, we need to find the percentage of this difference relative to her predicted amount:

Percent Error = (Difference / Predicted amount) * 100
Percent Error = ($10.25 / $30.00) * 100

Calculating the percentage error:

Percent Error = (0.3416667) * 100
Percent Error ≈ 34.17%

Therefore, the percent error in Aatikah's prediction is approximately 34.17%.

Answer 3

To find the percent error in Aatikah's prediction, we need to compare the difference between her predicted amount and the actual amount she spent to her predicted amount and then convert it into a percentage.

The formula for percent error is:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) x 100%

In this case, Aatikah's predicted value is $30.00 and the actual amount she spent is $19.75.

Substituting the values into the formula:
Percent Error = (|30.00 - 19.75| / 30.00) x 100%

Simplifying the expression inside the absolute value:
Percent Error = (10.25 / 30.00) x 100%

Calculating the division:
Percent Error = 0.3417 x 100%

Converting the decimal to a percentage:
Percent Error = 34.17%

Therefore, the percent error in Aatikah's prediction is 34.17%.