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Math  /  Numbers & Operations

QuestionQuestion 1
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Find the percent error for the estimate and actual value. Round the percent to the nearest tenth if necessary. estimate: \95actualvalue:$100percenterror:95 actual value: \$100 percent error: \square$ (D) Need help with this question?

Studdy Solution

STEP 1

1. The estimate value is \95.<br/>2.Theactualvalueis$100.<br/>3.Percenterroriscalculatedusingtheformula:95.<br />2. The actual value is \$100.<br />3. Percent error is calculated using the formula: \text{Percent Error} = \left( \frac{|\text{Actual Value} - \text{Estimate Value}|}{\text{Actual Value}} \right) \times 100\% \]
4. The percent error should be rounded to the nearest tenth.

STEP 2

1. Calculate the absolute error.
2. Calculate the percent error.
3. Round the percent error to the nearest tenth.

STEP 3

Calculate the absolute error by finding the difference between the actual value and the estimate value.
∣Actual Value−Estimate Value∣=∣100−95∣=5|\text{Actual Value} - \text{Estimate Value}| = |100 - 95| = 5

STEP 4

Use the absolute error to calculate the percent error.
Percent Error=(5100)×100%=5%\text{Percent Error} = \left( \frac{5}{100} \right) \times 100\% = 5\%

STEP 5

Round the percent error to the nearest tenth. In this case, the percent error is already a whole number, so no rounding is necessary.
The percent error is:
5.0%\boxed{5.0\%}

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