Question

The graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current.
A coordinate grid showing Clock Radio Electricity Usage, with Days Connected to Current on the x-axis and Electricity Usage in kilowatt hours on the y-axis with a line starting at (0, 0) and passing through (2, 0.5) and (6, 1.5).
Which is a reasonable estimate of the constant of variation?

Answer 1

constant of variation = 0.25

Step-by-step explanation:

x  ( days)       y  Electricity usage  kwh

0                        0

2                        0.5

6                        1.5

y = ax  + b

a = constant of variation      b = constant

0 = 0 + b

=> b = 0

=> y = ax

0.5 = a * 2

=> a = 0.5/2 = 0.25

1.5  = a * 6

=> a = 0.25

Verified

constant of variation = 0.25

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Answer 2

Answer:

Step-by-step explanation: