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In looking through company files, you discover that the former manager collected considerable data. Last summer, a typical week produced the following data: Day Temperature

In looking through company files, you discover that the former manager collected considerable data. Last summer, a typical week produced the following data:

Day
Temperature
(degrees Fahrenheit)
Number of Transactions
Gross Receipts (in dollars)
Monday
78
238
3014
Tuesday
73
194
2842
Wednesday
70
172
2141
Thursday
75
185
2235
Friday
83
270
4505
Saturday
89
320
5021
Sunday
94
280
4442


  1. Based on your data, predict the number of transactions if the temperature reaches 98 °. Explain how you made this prediction and how accurate you think it is.
  2. Based on your data, predict the gross receipts if the temperature is 80°. Explain how you made this prediction and how accurate you think it is.
  3. Based on your data, predict the number of transactions if the temperature falls to 65 °. Explain how you made this prediction and how accurate you think it is.
  4. As the number of transactions increases, what can you say about the gross receipts? Explain how you arrived at your conclusion.
  5. Functions are mathematical models for defining relationships between variables. In your own words, describe the functions in this scenario.
  6. Describe the other functions which last year's manager neglected to consider.

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