Question

Mrs. Nord and Mrs. Schulz went on a school field trip and estimated that 40 students would be there. There were 32 students that attended.

What was their percent error?





(1 point)
Responses

25%
25%

8%
8%

80%
80%

1.25%
1.25%

There were 420 gumballs in a jar but then more were added so that there were 500 gumballs. What is the percent of change? Round to the nearest whole percent.



(1 point)
Responses

80%
80%

16%
16%

84%
84%

19%

A fitness watch was on sale for $119.99. It was originally priced $179.99. What is the percent of change? Round to the nearest whole percent.



(1 point)
Responses

60%
60%

67%
67%

33%
33%

50%

Answer 1

Let's calculate each scenario one by one:

1. **Percent Error for Mrs. Nord and Mrs. Schulz's Estimate**:
- Estimated Value: 40 students
- Actual Value: 32 students
- Percent Error formula:
\[
\text{Percent Error} = \left( \frac{|\text{Estimated Value} - \text{Actual Value}|}{\text{Estimated Value}} \right) \times 100
\]
- Plugging in the values:
\[
\text{Percent Error} = \left( \frac{|40 - 32|}{40} \right) \times 100 = \left( \frac{8}{40} \right) \times 100 = 20\%
\]
- So, the correct answer is not among the responses. However, if looking for the closest answer, they estimated high, leading to an error of 20%.

2. **Percent of Change for Gumballs**:
- Initial Value: 420 gumballs
- New Value: 500 gumballs
- Percent Change formula:
\[
\text{Percent Change} = \left( \frac{\text{New Value} - \text{Initial Value}}{\text{Initial Value}} \right) \times 100
\]
- Plugging in the values:
\[
\text{Percent Change} = \left( \frac{500 - 420}{420} \right) \times 100 = \left( \frac{80}{420} \right) \times 100 \approx 19.05\%
\]
- Rounding to the nearest whole percent, the answer is **19%**.

3. **Percent of Change for the Fitness Watch**:
- Original Price: $179.99
- Sale Price: $119.99
- Percent Change formula:
\[
\text{Percent Change} = \left( \frac{\text{Original Price} - \text{Sale Price}}{\text{Original Price}} \right) \times 100
\]
- Plugging in the values:
\[
\text{Percent Change} = \left( \frac{179.99 - 119.99}{179.99} \right) \times 100 = \left( \frac{60}{179.99} \right) \times 100 \approx 33.34\%
\]
- Rounding to the nearest whole percent, the answer is **33%**.

### Summary of Answers:
1. Percent Error for students: **20%** (not among given responses).
2. Percent Change for gumballs: **19%**.
3. Percent Change for fitness watch: **33%**.