It looks like you are referring to a graph that likely shows the relationship between the total cost of renting a paddleboat (y) and the number of hours rented (x). Given the points provided, (2, 30) and (4, 40), we can infer values for the equation.
From the point (2, 30):
- When x (hours) is 2, y (total cost) is 30.
From the point (4, 40):
- When x (hours) is 4, y (total cost) is 40.
To find the equation of the line, we can first find the slope (m): \[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{40 - 30}{4 - 2} = \frac{10}{2} = 5 \]
Now that we have the slope, we can use point-slope form to find the equation of the line. Using the point (2, 30): \[ y - 30 = 5(x - 2) \] Simplifying this gives: \[ y - 30 = 5x - 10 \ y = 5x + 20 \]
Thus the equation in the form \(y = mx + b\) is: \[ y = 5x + 20 \]
So to complete the equation for Luis renting the paddleboat: \[ y = 5x + 20 \]
Hence, the completed equation is: \[ y = 5x + 20 \]
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