Which situation represents a multiplicative relationship? A) Kevin is 8 years older than his brother Sean. B) For every cat at the pet store, there are 2 dogs. C) A buy one get one free sale on sweaters at the clothing store. D) James always keeps $100 more in his savings than his checking account.

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Mathematics

Zachariah Gross

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Which situation represents a multiplicative relationship? A) Kevin is 8 years older than his brother Sean. B) For every cat at the pet store, there are 2 dogs. C) A buy one get one free sale on sweaters at the clothing store. D) James always keeps $100 more in his savings than his checking account.

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Dutches · Answer 1

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.