Two new skyscrapers, North and South, are being built. The height, N , in feet of the x th floor above the ground floor for the North Tower is shown in the graph of N(x) . The height, S , in feet of the x th floor above the ground floor for the South Tower is shown in the graph of S(x) . Dayton says that the floors of the North Tower are taller than the floors of the South Tower. He also says that the ground floor of the South Tower is taller than the ground floor of the North Tower. Analyze the graphs of N(x) and S(x) to explain whether Dayton's statements are correct.
To determine whether Dayton's statements are correct, we need to compare the heights of the floors in the North and South Towers.
Looking at the graph of N(x), we see that as x increases, the height N also increases. This indicates that the floors of the North Tower are getting taller as we move up.
Similarly, looking at the graph of S(x), we see that as x increases, the height S also increases. This indicates that the floors of the South Tower are also getting taller as we move up.
Based on this information, we cannot conclude that the floors of the North Tower are taller than the floors of the South Tower. Both towers show an increasing trend in height as we move up.
However, Dayton also states that the ground floor of the South Tower is taller than the ground floor of the North Tower. To analyze this, we need to compare the y-intercepts of the two graphs.
If the y-intercept of the graph of N(x) is lower than the y-intercept of the graph of S(x), then Dayton's statement would be correct. If not, then his statement would be incorrect.
Therefore, we need to examine the y-intercepts of the two graphs to determine whether Dayton's statements are correct or not.