Problem 204
Consider the following method of estimating Fahrenheit temperatures given Celsius temperatures (which was stated earlier in this section): To estimate the Fahrenheit temperature for a given Celsius temperature, double the Celsius temperature and add 30.
Create a spreadsheet comparing the estimates with the actual Fahrenheit temperatures for Celsius temperatures from 0 to 40°. (The estimate can be expressed as follows: F = 2C + 30)
For what temperatures is the estimate most accurate? least accurate? Are there any Celsius temperatures for which the estimate is exactly correct?
Solution
| Temperature (°C) | Estimated (°F) | Exact (°F) |
| 0 | 30 | 32 |
| 5 | 40 | 41 |
| 10 | 50 | 50 |
| 15 | 60 | 59 |
| 20 | 70 | 68 |
| 25 | 80 | 77 |
| 30 | 90 | 86 |
| 35 | 100 | 95 |
| 40 | 110 | 104 |
For 0-20 °C are most accurate and 20-40 °C are least accurate.
For 10°C both estimated temperature and exact temperature are same.