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

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

Answer

Explanation:

Step1: Recall direct - variation formula

The direct - variation formula is $y = kx$, where $k$ is the constant of variation. In this case, $y$ is the electricity usage in kWh and $x$ is the number of days. We can choose two points on the line to find $k$. Let's choose the points $(0,0)$ and $(10, 2.5)$.

Step2: Calculate the constant of variation

The formula for $k$ is $k=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 0,y_1 = 0,x_2=10,y_2 = 2.5$ into the formula, we get $k=\frac{2.5-0}{10 - 0}=\frac{2.5}{10}=0.25$.

Answer:

0.25 kWh per day