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Explain how to create a graph to model the relationship between the 2 quantities in the table.


A 2-column table with 4 rows. Column 1 is labeled hours (x) with entries 1, 2, 3, 4. Column 2 is labeled dollars with entries 25, 50, 75, 100.

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MrRoyal

The equation that models the relationship between the 2 quantities in the table is y =25x

From the table, we have the following ordered pairs

(x,y) = {(1,25) (2,50)}

Start by calculating the slope (m)

[tex]m = \frac{y_2- y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{50-25}{2-1}[/tex]

[tex]m = \frac{25}{1}[/tex]

[tex]m = 25[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) + y_1[/tex]

So, we have:

[tex]y = 25(x -1) +25[/tex]

[tex]y = 25x -25 +25[/tex]

[tex]y = 25x [/tex]

Hence, the equation that models the relationship between the 2 quantities in the table is y =25x

See attachment for the graph of the table

Read more about linear equations at:

https://brainly.com/question/14323743

Ver imagen MrRoyal
rishavghosal1

Answer:

Use the values in the table to create ordered pairs. Label the x-axis with the independent variable, hours. Label the y-axis with the dependent variable, dollars. Plot the ordered pairs on the graph. If the variables can be represented as fractional parts you can draw a line from the origin that connects the points.

Step-by-step explanation:

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