For each table of values, select whether the table represents a linear or exponential relationship. 10 points for the answer

We have a Table here called Function A. So we need to know whether the table represents a linear or exponential relationship. Remember that:

A linear function has the form:

so if increases by a constant amount the functions value will have a common difference.

An exponential function has the form:

so if increases by a constant amount the functions value will have a common difference.

EXPONENTIAL RELATIONSHIP.

Notice that in this case the function increases by a constant amount and in this case this amount is 3 because:

As you can see, it is true that increase by a constant amount of 3. Hence, we need to analyze the function values.

First, let's see if the function values has a common difference:

We have stopped because there is no any common difference. Let's try to see if there is common ratio:

As you can see these function values have a common ratio. In conclusion THIS TABLE REPRESENTS AN EXPONENTIAL RELATIONSHIP.

LINEAR RELATIONSHIP.

From the Table, it's easy to realize that this is a linear relationship by taking a look on the function values. Notice that increases here at a constant amount of 2 because:

So, let's see if the function values has a common difference:

As you can see these function values have a common difference. In conclusion THIS TABLE REPRESENTS A LINEAR RELATIONSHIP.

EXPONENTIAL RELATIONSHIP.

It is likely that this is an exponential function, just take a look at the function values. Notice that increases here at a constant amount of 2 because:

So, let's see if the function values has a common ratio:

As you can see these function values have a common ratio. In conclusion THIS TABLE REPRESENTS AN EXPONENTIAL RELATIONSHIP.

answer: a

step-by-step explanation:

10.2 units