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

B 0.5 kWh per day

Step-by-step explanation:

Since 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

The constant of variations will be the gradient ( slope ) of the graph.

Gradient = (Y2 - Y1)/(X2 - X1)

Where X1 = 2, X2 = 6, Y1 = 0.5, Y2 = 1.5

Substitute all the values into the formula

Gradient = (1.5 - 0.5)/( 6 - 4 )

Gradient = 1/2

Gradient = 0.5.

Therefore, a reasonable estimate of the constant of variation is 0.5 kWh per day

step-by-step explanation:

3024 rhe base is what up in worry about

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be