Question

In looking through company files, you discover that the former manager collected considerable data. Last summer,...

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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