Jasmine is running in a race. She runs 1,500 meters in 7 minutes. She starts out fast, slows down toward the middle of the race, and then finishes by sprinting to the finish line. Choose the sketch of a graph that exhibits the qualitative features of the relationship between the number of minutes Jasmine has been running and the distance she has run.(1 point)
Responses
A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. A curve with a closed circle at both the ends is shown. The coordinates of a plotted closed circle are left parenthesis 0 comma 0 right parenthesis. An upward curve extends from this point and increases steeply to left parenthesis 4 comma 900 right parenthesis, then levels off slightly, and then increases steeply to left parenthesis 7 comma 1500 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. A curve with a closed circle at both the ends is shown. The coordinates of a plotted closed circle are left parenthesis 0 comma 0 right parenthesis. An upward curve extends from this point and increases steeply to left parenthesis 4 comma 900 right parenthesis, then levels off slightly, and then increases steeply to left parenthesis 7 comma 1500 right parenthesis.
A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. The coordinates of a plotted closed circle are left parenthesis 0 comma 0 right parenthesis, and a second closed circle is plotted at left parenthesis right 7 comma 1,500 parenthesis. A downward concave curve connects the two points. The curve passes through left parenthesis 1 comma 600 right parenthesis, left parenthesis 3 comma 1200 right parenthesis, and left parenthesis 5 comma 1400 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. The coordinates of a plotted closed circle are left parenthesis 0 comma 0 right parenthesis, and a second closed circle is plotted at left parenthesis right 7 comma 1,500 parenthesis. A downward concave curve connects the two points. The curve passes through left parenthesis 1 comma 600 right parenthesis, left parenthesis 3 comma 1200 right parenthesis, and left parenthesis 5 comma 1400 right parenthesis.
A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. A curve connects 2 plotted points. The coordinates of a plotted closed circle are left parenthesis 0 comma 0 right parenthesis, and a second closed circle is plotted at left parenthesis 7 comma 1500 right parenthesis. An upward concave curve connects the two points. The curve passes through left parenthesis 6 comma 800 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. A curve connects 2 plotted points. The coordinates of a plotted closed circle are left parenthesis 0 comma 0 right parenthesis, and a second closed circle is plotted at left parenthesis 7 comma 1500 right parenthesis. An upward concave curve connects the two points. The curve passes through left parenthesis 6 comma 800 right parenthesis.
A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. A straight line connects the following two plotted points: left parenthesis 0 comma 0 right parenthesis and left parenthesis 7 comma 1,500 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis, labeled as Number of Minutes, ranging from 0 to 10 in increments of 1, and the y-axis, labeled as Number of Meters, ranging from 0 to 1600 in increments of 100. A straight line connects the following two plotted points: left parenthesis 0 comma 0 right parenthesis and left parenthesis 7 comma 1,500 right parenthesis.
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1 answer
To choose the correct graph that represents Jasmine's running pattern in the race, we need to keep in mind the qualitative features of her performance:
Starts out fast: This means that in the initial part of the race, the distance will increase relatively quickly.
Slows down toward the middle: This indicates that the graph will level off or increase at a slower rate during the middle part of the race.
Finishes by sprinting: This implies that in the final part of the race, the distance will increase at a higher rate again.
Based on these features, the best choice would be the graph that exhibits the following characteristics:
Starts steeply, which reflects the initial fast pace.
Levels off slightly in the middle, denoting a slowing down.
Then steeply increases again toward the end, indicating a sprint finish.
From your descriptions, the first response fits these requirements: It shows an upward curve that increases steeply at the beginning, levels off slightly in the middle, and then steeply increases again at the end, reaching the finish line at 1500 meters in 7 minutes.
Thus, the correct graph to choose would be the first one.
