Question

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

What is the slope of the line?
What does the slope of the line represent?

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 = (y_2-y_1)/(x_2-x_1) = (51-30.6)/(5-3) = (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.