Question

For working 3 hours, Sofia earns $30.60. For working 5 hours, she earns $51. For working 6 hours, she earns $61.20

Answer 1

The slope is 10.2.  The slope of the line represents how much money she earns per hour.  So Sofia earns $10.20 per hour

Answer 2

(3,30.6)
(5,51)
(6,61.2)

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{51-30.6}{5-3} = \frac{20.4}{2} =\boxed{10.2}$

The slope of the line that passes through points (3,30.6) and (5,51) is 10.2

The slope of the line represents how much she earns per hour.