Question

Fill in the blanks!!!!

Do the values in the table represent a proportional relationship?

x 2 3 4 5
y 5 6 7 8

Select from the drop-down menu to correctly complete the statement. All of the y-values ___ a constant multiple of the corresponding x-values, so the relationship _________ .

Answer 1

All of the y-values are not a constant multiple of the corresponding x-values, so the relationship is not proportional.

Explanation:

In a proportional relationship the following equation must be satisfied: y = k*x

Rearranging we get: k = y/x

x 2 3 4 5

y 5 6 7 8

y/x 5/2 6/3 7/4 8/5

There is no constant k value, therefore x and y are not proportional.

Answer 2

Answer: y-values has a constant multiple of the corresponding x-values, so the relationship is a proportional .

Step-by-step explanation: We are given a table for x and y values.

x 2 3 4 5

y 5 6 7 8

Let us find the differences of x values.

3-2 = 1

4-3 =1 and

5-1 =1

Also let us find the differences of y's

6-5=1

7-6=1 and

8-7 =1

We can see that y-values has a constant multiple of the corresponding x-values, so the relationship is a proportional .