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.

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.

picture below

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft