Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
2 answers:
Answers:
The graph is attached below. With this information we have to answer the questions:
1) Who is at the trail start at 9:00 a.m.?
Andy
According to the graph, at 9:00 a.m. Andy is at the point (0,0), which is the begining of the trail. Hence, he is at the trail start.
2) Who runs fastest?
Bertha
If we observe the slopes of each line; Bertha's slope has the least steep. This means she is displacing more in less time, than the other two runners.
3) When do Andy and Berta cross paths?
After 8 minutes, on mile 1.
According to the graph, exactly at the point (8,1), which is at 9:08 a.m. and in mile 1; is when the paths of both runners intercept each other.
4) Who is closest to the 1.5 mile mark after 6 minutes?
Bertha
As we see in the graph, at 9:06 a.m Bertha is closest to the 1.5 mile mark, since her line is closest to this point at that time.
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Answer:
ok sorry i could not put this into a formula im have to go but i will show you a really easy way.
Step-by-step explanation:
for number 1 i got (7,-1)
This is because there is a slope of 1/1 between these two points. so i plotted the two points on the graph. The distance between the two points is 4. so i followed the slope 4 times and thats what i got.
The correct way for doing number 1 is using the distance formula i believe but im running out of time
for the second one i got (3, -1/2)
we do this by using the midpoint formula.
The first picture is for number one and the second for number 2
if you have any questions feel free to ask in the comments
