A bicyclist pedals along a straight road with velocity, v, given in the figure below. She starts 7 miles from a lake; positive velocities take her away from the lake and negative velocities take her toward the lake.

http://www.webassign.net/hgmcalc/5-3-26fig.gif

When is the cyclist farthest from the lake?
t = 1 hours (i got this part)

Approximately how far away is she at this time? Give a best estimate. (Round your answer to the nearest whole number.)

miles

Question

A bicyclist pedals along a straight road with velocity, v, given in the figure below. She starts 7 miles from a lake; positive velocities take her away from the lake and negative velocities take her toward the lake.

http://www.webassign.net/hgmcalc/5-3-26fig.gif

When is the cyclist farthest from the lake?
t =  1  hours (i got this part)

Approximately how far away is she at this time? Give a best estimate. (Round your answer to the nearest whole number.)
  

 miles

anonymous · Answer

You need to find the area where y is positive between the function and y = 0 , subtract the area where y is negative between the function and y = 0, and remember to factor in the original 7 miles.

anonymous · Answer

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anonymous · Answer

yeah i did but my estimate is wrong. it was 67

anonymous · Answer

whats yours?

anonymous · Answer

how can i make a better estimate?

anonymous · Answer

17 miles was my answer not 67

anonymous · Answer

I didn't do it, so I'm not sure, but are you considering that each horizontal tick mark is 10 minutes (which is 0.17 hours)?