Question 965921: Your patient, Jayne, is adding cycling to her routine and wants to work on endurance.
Her most recent ride was at a forest preserve. She got on her bicycle and rode up a 2000-foot incline in 10 minutes. Then she traveled down the incline in 3 minutes. The next 5000 feet was level terrain and she covered that distance in 20 minutes. She rested for 15 minutes. Jayne then traveled 10,000 feet in 30 minutes.
Create a graph for Jayne that shows her distance traveled as a function of time.
Im sorry but I do not understand this question at all.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! it's confusing.
not sure if the last 10,000 feet was up another incline or on level terrain.
i believe they want you to map distance traveled versus time.
i don't think the incline needs to be mapped since you can't map the incline and the distance traveled on the same graph at the same time.
y axis would be distance traveled.
x axis would be time.
your x and y values would be:
x,y
0,0
10,2000
13,4000
33,9000
48,9000
78,19000
0,0 is when she started.
10,2000 is when she rode up the 2000 foot incline in 10 minutes.
0 + 10 = 10 minutes total.
0 + 2000 = 2000 feet total.
13,4000 is when she rode back down the 2000 foot incline in 3 minutes.
10 + 3 = 13 minutes total.
2000 + 2000 = 4000 feet total.
33,9000 is when she rode 5000 feet on level terrain in 20 minutes.
13 + 20 = 33 minutes total.
4000 + 5000 = 9000 feet total.
48,9000 is when she rested for 15 minutes.
while she was resting, she traveled 0 feet.
33 + 15 = 48 minutes total.
9000 + 0 = 9000 feet total.
78,19000 is when she rode another 10000 feet in 30 minutes.
they didn't say whether this was on level ground or not.
it's not important if you're only tracking distance and not tracking elevation.
48 + 30 = 78 minutes total.
9000 + 10000 = 19000 feet total.
the graph will look something like this:
inc x is the incremental values of minutes.
inc y is the incremental values of distance.
total x is the cumulative total of minutes consumed.
total y is the cumulative distance of feet traveled.
the graph is showing you total y on the y axis and total x on the x axis.
that total distance based on total minutes.
the slope of the line is telling you how fast she was traveling.
you can see that she was really moving when she came back down the incline.
that was between minutes of 10 and 13.
you don't see whether she was going up or down.
that is invisible on this graph.
you might surmise that she was going downhill when she was traveling faster than normal, but that's an assumption that is not directly visible on the graph.
you can see when she was taking a rest that the line was horizontal.
that means she didn't travel any distance.
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