The data shown estimate the number of flea eggs produced over a period of days. Day No. of Eggs 1 436 2 495 3 575 4 444 5 754 6 915 7 945 8 655 9 782 10 704 11 590 12 411 13 547 14 584 Day No. of Eggs 15 550 16 487 17 585 18 549 19 475 20 435 21 523 22 390 23 425 24 415 25 450 26 395 27 405 a. Draw a line graph of the given data. b. Predict how many eggs there might be on day 28.
http://mste.illinois.edu/courses/ci330ms/youtsey/lineinfo.html
a. To draw a line graph of the given data, follow these steps:
1. Create a coordinate grid on a piece of graph paper or on a digital graphing tool.
2. Label the x-axis with the "Day" values (1, 2, 3, ... , 27, 28) and the y-axis with the "No. of Eggs" values (0, 200, 400, ... , 800, 1000).
3. Plot each data point as a coordinate on the graph by locating the corresponding day on the x-axis and the number of eggs on the y-axis.
4. Connect the plotted points with straight line segments to form the line graph.
b. To predict how many eggs there might be on day 28 using the line graph, follow these steps:
1. Extend the line graph to include day 28 by drawing a dashed line segment from the last plotted point (day 27) to the right edge of the graph.
2. Observe the trend of the line graph. Is it increasing, decreasing, or relatively stable?
3. Estimate the position of day 28 along the y-axis by following the trend line and making an educated guess.
4. Read off the estimated number of eggs on day 28 from the y-axis.
Note: The accuracy of the prediction depends on the reliability of the data and the assumption that the trend will continue.