investigate the relationship between a number of transactions (input) and gross receipts (output) by graphing the ordered pairs.

In mathematics, these sets of ordered pairs that you have been graphing are known as functions. The output is said to be a function of the input. For the sake of clarity, each input can be related to one and only one output. Functions may be defined by tables or graphs, as seen in this scenario, or by equations or word models, as seen in future problems. Although most functions in this course involve a cause and effect relationship, functions in mathematics refer more generally to any input/output pairing of data, where each input is paired with one and only one output.

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 our own words, describe the functions in this scenario.

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