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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?
A. 0.25 kWh per day
B. 0.50 kWh per day
C. 2.40 kWh per day
D. 4.00 kWh per day

User Ravindra S
by
7.6k points

2 Answers

5 votes

Answer:

Option,A

Explanation:

User Alonblack
by
6.7k points
4 votes

Answer:

Reasonable estimation for constant of variation is 0.25 kWh per day.

Explanation:

We are given the following information in the question:

  • The graph represents the function where electricity usage.
  • Electricity usage in kilowatts per hour of a clock radio varies directly with the number of days.
  • The x-axis shows the number of days and usage in kilo-watt per hour is showed on the y-axis.
  • Some coordinates of the graph are: (0,0), (2,0.5) and (6,1.5)

Formula for constant of variation:


\displaystyle(y_2-y_1)/(x_2-x_1)

Putting the values from the coordinates (2,0.5) and (6,1.5), we get:


\displaystyle(1.5-0.5)/(6-2) = (1)/(4) = 0.25\text{ kilowatt-hours per day}

Hence, reasonable estimation for constant of variation is 0.25 kWh per day.

User AMayes
by
7.8k points