Answer:
Option B represents a multiplicative relationship.
Step-by-step explanation:
We are required to find the situation that represents a 'multiplicative relationship'.
According to the options, we have,
A) Kevin is 8 years older than his brother Sean.
This gives us the relation that, Kevin's Age = 8 + Sean's Age.
Thus, this is not a multiplicative relationship.
B) For every cat at the pet store, there are 2 dogs.
We get that, for 1 cat, there are two dogs.
So, Number of dogs = 2 × Number of cats.
Thus, this is a multiplicative relationship.
C) A buy one get one free sale on sweaters at the clothing store.
So, during the sale a person can buy 1 + 1 i.e. 2 sweaters.
Thus, this is not a multiplicative relationship.
D) James always keeps $100 more in his savings than his checking account.
This gives us the relation that, Savings balance = 100 + Checking balance
So, this is not a multiplicative relationship.
Hence, option B represents a multiplicative relationship.