Question

Drag the tiles to the table. The tiles can be used more than once.For each table, there is a description of what operations to perform on the independent variable to produce the dependentvariable. Match each table with its description, and label each as linear or exponential.

Answer 1

Let us analyze each of the given tables.

Table 1:

Let us find out if there is a common difference between two consecutive y values.

1 - (-3) = 1 + 3 = 4

5 - 1 = 4

9 - 5 = 4

As you can see there is a common difference of 4.

Whenever we have a common difference then the function is linear.

Rule = Add 4

Type of function = Linear

Table 2:

Let us find out if there is a common difference between two consecutive y values.

6 - 4 = 2

9 - 6 = 3

As you can see, we don't have a common difference in this case.

Let us find out if there is a common ratio between two consecutive y values.

6/4 = 3/2

9/6 = 3/2

13.5/9 = 3/2

As you can see there is a common ratio of 3/2

Whenever we have a common ratio then the function is exponential.

Rule = Multiply by 3/2

Type of function = Exponential

Table 3:

Let us find out if there is a common difference between two consecutive y values.

5 - 10 = -5

2.5 - 5 = -2.5

As you can see, we don't have a common difference in this case.

Let us find out if there is a common ratio between two consecutive y values.

5/10 = 1/2

2.5/5 = 1/2

1.25/2.5 = 1/2

As you can see there is a common ratio of 1/2

Rule = Multiply by 1/2

Type of function = Exponential