3. Use the equation y = 3.2x + 5 to complete in the table.
Type the answers in the boxes below.
1
2
4
3. Is y proportional to x and y?
Select the correct choice from the drop down.
Explain why or why not.
Type your response in the space below.

Answer/Step-by-step explanation:

Plug in the value of x in each row into the equation, y = 3.2x + 5, to find their corresponding y values respectively.

When x = 1:

y = 3.2(1) + 5

y = 3.2 + 5

y = 8.2

When x = 2:

y = 3.2(2) + 5

y = 6.4 + 5

y = 11.4

When x = 4:

y = 3.2(4) + 5

y = 12.8 + 5

y = 17.5

You have the following table:

x | y

1 | 8.2

2 | 11.4

4 | 17.5

To find out if y is proportional to x, find the ratio of y to x of each pair in the table.

x | y | ratio of y to x (y/x)

1 | 8.2 | 8.2/1 = 8.2

2 | 11.4 | 11.4/2 = 5.7

4 | 17.5 | 17.5/4 = 4.375

As you can see, here is no equal ratio. Each pair has a different ratio. Therefore, the a proportional relationship does not exist between x and y.

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