Question
Last week's production at Morton Manufacturing was 1,600 units. This week the factory produced 1,913 units. What is the rate of change in production? select one:
Ask by Warren Matthews. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The production increased by approximately 19.6% from last week to this week.
Solution
To calculate the **rate of change** in production from last week to this week, you can use the following formula:
\[
\text{Rate of Change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\%
\]
**Given:**
- **Last week's production (Old Value):** 1,600 units
- **This week's production (New Value):** 1,913 units
**Calculation:**
\[
\text{Rate of Change} = \left( \frac{1,913 - 1,600}{1,600} \right) \times 100\% = \left( \frac{313}{1,600} \right) \times 100\% \approx 19.56\%
\]
**Rounded to one decimal place:** **19.6%**
**Answer:**
The production increased by approximately 19.6 % from last week to this week.
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Beyond the Answer
To find the rate of change in production, subtract last week's production from this week's production and divide by last week's production. So, (1,913 - 1,600) / 1,600 = 0.196. This means there is approximately a 19.6% increase in production from last week to this week. To put it in a fun perspective, imagine this increase as Morton Manufacturing's production team getting a turbo boost in their productivity - a real victory dance in the factory! Cheers to that growth!