Kimtoya and sidney are participating in a long-distance bike tour. the rate at which kimtoya is riding is represented by the equation y = 12.5x, where x is the time in hours and y is the total distance in kilometers. the rate at which sidney is riding is represented by this table. select answers from the drop-down menus to correctly complete the statements. kimtoya rides at a rate of per hour and sidney rides at a rate of per hour. kimtoya's rate of speed 's rate of speed. time (h) total distance (km) 2                25 3.5            43.75 5                62.5

On this problem, you just use the information you know and compare it. So...

Kimtoya rides at a rate of 12.5 kilometers per hour and Sidney rides at a rate of 12.5 kilometers per hour. Kimtoya's rate of speed is equal to Sidney's rate of speed.

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

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