15 The tables show the relationships between x and y for two data sets. Data Set I Data Set II x y 1 5.5 2 11.0 3 16.5 4 22.0 5 27.5 x y 1 5 2 10 3 15 4 20 5 25 Which statements describe the relationships between x and y in Data Set I and Data Set II? A Both data sets show additive relationships. In Data Set I, y is 5.5 more than x, and in Data Set II, y is 5 more than x. B Data Set I shows a multiplicative relationship in which y is 5.5 times x. Data Set II shows an additive relationship in which y is 20 more than x. C Both data sets show multiplicative relationships. In Data Set I, y is 5.5 times x, and in Data Set II, y is 5 times x. D Data Set I shows an additive relationship in which y is 4.5 more than x. Data Set II shows a multiplicative relationship in which y is 5 times x.

In mathematics, the term multiplicative relationship is used to refer to the term that has two quantities that can be expresses as multiples of themselves. For instance in a situation where we have y = ax, then we would have y and x to be multiples of themselves and this is a scalar with equivalent ratio as both of the variables.

From the explanation here we can see that in set 1, we can add 5.5 to get the value of y while in 2 we have to add 5 to get the value of y.

In the first data, we can see that 1 *5.5 = 5.5, 2 * 5.5 = 11, 3*5.5 = 16.5 etc

In the second data, we can also see the multiplicative property, 1*5 = 5, 2*5 = 10, 3*5 = 5 etc

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