Answer:
E = 6t +40
Explanation:
You want the equation that matches the graph of energy usage versus machine operating time.
Slope
The given graph shows a rise from 40 to 100 MJ over the time interval 0 to 10 minutes. The slope is ...
m = rise/run = (100 -40)/(10 -0) = 60/10 = 6 . . . . . mJ/min
Intercept
The y-intercept of the graph is where the line starts on the left, at 40 MJ.
Equation
The equation in slope-intercept form is ...
E = mt +b . . . . . . . where m is the slope and b is the y-intercept
E = 6t +40 . . . . formula for energy use
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