Ethan drove his car to his grandparents’ house at a steady rate of 54 miles per hour. The table shows the distance Ethan had driven based on the time that had passed.
1/2(hours)=27(distance)
1(hours)=54(distance)
1 1/2(hours)=81(distance)
2(hours)=108(distance)
2 1/2(hours)=135(distance)
3(hours)=162(distance)
A.If the distance traveled by Ethan for different amounts of time is plotted on a graph and a line is drawn through all the points, what will you notice?
B.Will all the points on the line make sense in the given problem situation? Why or why not?
Ethan drove his car to his grandparents’ house at a steady rate of 54 miles per hour. The table shows the distance Ethan had driven based on the time that had passed
A. If the distance traveled by Ethan for different amounts of time is plotted on a graph and a line is drawn through all the points, you will notice that the line is a straight diagonal line going upwards from left to right. This indicates a constant rate of change, which in this case is the constant speed at which Ethan is driving.
B. Yes, all the points on the line make sense in the given problem situation. The table shows that for every half hour that passes, Ethan drives 27 miles. This consistent pattern continues for all the points given. So, if we were to plot the points and draw a line through them, every point on the line would correspond to a valid time and distance measurement for Ethan's journey.
well, geez - did you plot the points?
If so, then A should be obvious.
why would a point on the line not make sense?