If the slope is 3 what does it represent using this table

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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