Question

A bakery sold 113 cupcakes in one day. The head baker predicted he would sell 93 cupcakes that day. What was the percent error of the baker's prediction?
A.
20%
B.
17.70%
C.
21.51%
D.
82.30%

Answer 1

To find the percent error of the baker's prediction, you can use the formula:

\[
\text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Predicted Value}}{\text{Actual Value}} \right) \times 100
\]

In this case, the actual value is 113 cupcakes, and the predicted value is 93 cupcakes.

\[
\text{Percent Error} = \left( \frac{113 - 93}{113} \right) \times 100
\]

Calculating the difference:

\[
113 - 93 = 20
\]

Now, plug this into the formula:

\[
\text{Percent Error} = \left( \frac{20}{113} \right) \times 100
\]

Calculating the division:

\[
\frac{20}{113} \approx 0.176991
\]

Now, multiply by 100 to convert it to a percentage:

\[
0.176991 \times 100 \approx 17.70
\]

Thus, the percent error of the baker's prediction is approximately **17.70%**, which corresponds to option **B**.