the graph represents the function where electricity usage in kilowatts per hour of a clock radio varies…

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. which is a reasonable estimate of the constant of variation? 0.25 kwh per day 0.50 kwh per day 2.40 kwh per day 4.00 kwh per day clock radio electricity usage

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. which is a reasonable estimate of the constant of variation? 0.25 kwh per day 0.50 kwh per day 2.40 kwh per day 4.00 kwh per day clock radio electricity usage

Answer

Answer:

0.25 kWh per day

Explanation:

Step1: Recall direct - variation formula

The formula for direct variation is $y = kx$, where $k$ is the constant of variation. In this case, $y$ is electricity usage in kWh and $x$ is the number of days.

Step2: Select two points on the line

Let's assume the line passes through the points $(0,0)$ and $(4,1)$.

Step3: Calculate the constant of variation

$k=\frac{y_2 - y_1}{x_2 - x_1}=\frac{1 - 0}{4 - 0}=\frac{1}{4}=0.25$ kWh per day.