Answer: C
Step-by-step explanation: Hi there.
To answer this question, we need to look closely at the data tables and answers.
A cannot be right. If the relationship is additive, that means that an input x is being added to a number to get a certain number y. If the relationship is multiplicative, that means an input x is being multiplied by number to get a certain number y. The relationship cannot be additive if the input is being multiplied (and vice versa) because it does not make sense.
B cannot be right. (See A for reason)
D cannot be right. (See A for reason)
C is right. It states that Data Set I is multiplicative because y is 2 times x, and the relationship for Data Set II is additive because y is two more than x. Every x value in Data Set I is being multiplied by 2 to get y (just divide y by 2 to check), and every x value in Data Set II has 2 added to it to get y (just subtract y by 2 to check). It also gets it right that Data Set I is multiplicative and Data Set II is additive.
Have a nice day! :)
