Question

Jason predicted that 227 students would attend the school dance

Answer 1

Given that the predicted value is 227 while the actual value is 250.

1.

The difference is calculated as,

`\begin{gathered} \text{ Difference }=\text{ Actual Value}-\text{ Predicted Value} \\ \text{ Difference }=250-227 \\ \text{ Difference }=23 \end{gathered}`

Thus, the difference is 23.

2.

Consider the equation,

`\text{ Difference}=\text{ percent error}\cdot\text{ Actual Value}`

Substitute the values,

`23=p\cdot250`

This is the required equation.

3.

Solve the equation obtained above for the variable 'p' as,

`\begin{gathered} p=(23)/(250) \\ p=0.092 \end{gathered}`

Thus, the value of 'p' is obtained as 0.092.

4.

The value of 'p' in percentage can be obtained as,

`\begin{gathered} p(\text{percent})=0.092\cdot100 \\ p(\text{percent})=9.2 \end{gathered}`

Thus, the value of percentage error is 9.2%.