Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![**Nuclear Power Plant Capacity Utilization in the U.S.: 1975-2004**
The table below displays the capacity at which U.S. nuclear power plants were operational during various years:
| Year | Percent |
|------|---------|
| 1975 | 56 |
| 1980 | 59 |
| 1985 | 58 |
| 1990 | 70 |
| 1995 | 76 |
| 2000 | 88 |
| 2004 | 89 |
**Mathematical Model of Capacity Utilization**
Let \( f(t) \) represent the capacity (in percent) at which U.S. nuclear power plants were operational \( t \) years since 1970. The situation is modeled by the equation:
\[ f(t) = 0.027t^2 + 0.216t + 53.296 \]
To analyze the fit of this model to the data, utilize a graphing calculator. Plot the function and the data points on the same graph to assess alignment.
- Does the model fit the data well?
- Options:
- ☐ The function is not a good model for the data
- ☑ The function is a good model for the data
**Estimation and Prediction:**
- Estimate the capacity at which U.S. nuclear power plants were operational in 2008.
- Enter your estimation rounded to the nearest whole percent: [ ]%
- Predict when U.S. nuclear power plants will reach full (100%) capacity.
- Enter the year this occurs: [ ]
**Support**
For assistance, access additional resources or contact your instructor.
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**Note**: Graphs and diagrams are not provided here. Use a graphing calculator to visualize the modeled function alongside the data points for detailed analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0aec33da-7e9a-4f18-8fb9-9cc4b6ca964e%2F4dcb7189-77c5-4fe0-ac64-80ba365ee875%2Faec4o9.jpeg&w=3840&q=75)
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