Mathematics, 19.11.2020 21:30 alani64

Zahra runs a 500-meter race at a constant speed. Which graph shows her distance from the finish line during the race?

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Answer from: tejalawatson91

The answer is the third figure. Attached the image.

Step-by-step explanation: Given that Zahra runs a 500-meter race at a constant speed. We are to select the correct graph from the four options that will show her distance from the finish line during the race.

We can see in graph 2, the distance covered by Zahra in metres increases at the same rate as the time increases in minutes.

But, since we are considering from the finish line, so option (#) will be right, because Zahra starts at 500 metres, decreases in the same manner as the increase of time and goes down to 0 on the positive X-axis.

Also,

Thus, the attached graph, which is the third option is the correct graph.

Zahra runs a 500-meter race at a constant speed. Which graph shows her distance from the finish line

Answer from: Quest

What are the options

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

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 = $\frac{1-0}{3-0} = \frac{1}{3}$ .

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

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

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

$y> \frac{1}{3}x$ .

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

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

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

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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Zahra runs a 500-meter race at a constant speed. Which graph shows her distance from the finish line...