Compare Representations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
An illustration shows a scatterplot with age in years on the x-axis from 2 to 14 in increments of 2 and height in inches on the y-axis from 32 to 60 in increments of 2. The y-axis is scaled different at the beginning shown by a break symbol. Seven points are plotted. The approximate coordinates of the plotted points are as follows: left parenthesis 2 comma 33 right parenthesis, left parenthesis 4 comma 37 right parenthesis, left parenthesis 6 comma 42 right parenthesis, left parenthesis 8 comma 47 right parenthesis, left parenthesis 10 comma 53 right parenthesis, left parenthesis 12 comma 56 right parenthesis, and left parenthesis 14 comma 60 right parenthesis.
The graph shows Henri’s height over time. How tall was Henri when he turned 8 years old? Use a whole number for the response.
(1 point)
inches
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Henri was 47 inches tall when he turned 8 years old.
Use the image to answer the question.
An illustration shows a line chart in quadrant 1 of the coordinate plane. The x-axis shows time in minutes from 0 to 12 in increments of 1. The y-axis shows distance traveled in kilometers from 0 to 7 in increments of 1. A straight line is drawn through quadrant 1 starting from the origin. The approximate coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 1 right parenthesis, left parenthesis 4 comma 2 right parenthesis, left parenthesis 6 comma 3 right parenthesis, left parenthesis 8 comma 4 right parenthesis. The line ends at approximately left parenthesis 10 comma 5 right parenthesis.
The graph shows a log of how far Emmanuel biked over time. Approximately how many kilometers did he travel after four minutes? Use a whole number for the response.
(1 point)
kilometers
Emmanuel traveled approximately 2 kilometers after four minutes.
Use the image to answer the question.
An illustration shows a line chart titled Michael’s Reading Chart in quadrant 1 of the coordinate plane. Time in hours is labeled on the x-axis from 0 to 8 in increments of 2 and pages read on the y-axis from 0 to 400 in increments of 100. A curved line is drawn through quadrant 1. The approximate coordinates of points on the line are as follows: left parenthesis 0 comma 25 right parenthesis, left parenthesis 2 comma 50 right parenthesis, left parenthesis 4 comma 125 right parenthesis, left parenthesis 6 comma 175 right parenthesis, and left parenthesis 8 comma 240 right parenthesis.
Michael is participating in a summer reading challenge. He is logging the number of pages he can read over the course of several hours. The results are shown in the graph. Approximately how many hours did it take Michael to read 150 pages? Round to the nearest whole number.
(1 point)
hours
Michael took approximately 3 hours to read 150 pages.
3 is wrong
To calculate the number of hours it took Michael to read 150 pages, we can interpolate between the known points on the graph. From the data given, we know that at 4 hours, Michael read 125 pages, and at 6 hours, he read 175 pages.
Using interpolation:
For every hour, Michael read (175 - 125) / (6 - 4) = 50 / 2 = 25 pages.
To find out how many hours it would take him to read 150 pages, we can set up a proportion:
(150 - 125) / (25) = ? / (6 - 4)
(25) / (25) = ? / 2
1 = ? / 2
2 = ?
Therefore, it took Michael 2 hours to read 150 pages.
no
I apologize for the mistake. Let's correct the calculation:
Since Michael read 125 pages in 4 hours and 175 pages in 6 hours, we can find the rate of pages read per hour.
Rate = (175 - 125) / (6 - 4) = 50 / 2 = 25 pages per hour
To find out how many hours it would take him to read 150 pages:
Hours = (150 - 125) / 25 = 25 / 25 = 1 hour
Therefore, it took Michael approximately 1 hour to read 150 pages.