The table shows the number of gallons of gas used and the number of miles driven. Gallons of Gas Used 12 15 18 12 14 16 Miles Driven 300 400 450 350 400 450 Is the resulting data set a function? Explain your reasoning. A The table is a function. The function can have more than one input value paired with the same output value. B The table is a function. The function can have more than one output value paired with the same input value. C The table is not a function. The function cannot have different input values paired with the same output value. D The table is not a function. The function cannot have the same input value paired with different output values.

A function is a relation that maps elements from one set (the domain) into elements from another set (the range). Such that each element from the domain can be mapped into only one element from the range.

In this case, the table is:

Gallons of Gas Used: 12 15 18 12 14 16
Miles Driven: 300 400 450 350 400 450

So, the input "12" appears twice, the first time is mapped into 300 miles, and the second time is mapped into 350.

So the same value from the domain is being mapped into two different values of the range, meaning that this is not a function. So the correct option is D.

If you want to learn more about functions, you can read:

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