SOLUTION: sketch a graph showing the distance from home that a person is after X hours if that individual drives on a straight road at 40 mph to a park 20 miles away, remains at the park for

Algebra ->  Coordinate-system -> SOLUTION: sketch a graph showing the distance from home that a person is after X hours if that individual drives on a straight road at 40 mph to a park 20 miles away, remains at the park for      Log On


   

Question 1092886: sketch a graph showing the distance from home that a person is after X hours if that individual drives on a straight road at 40 mph to a park 20 miles away, remains at the park for 2 hours, and then returns home at a speed of 20 mph.
his problem is not in the textbook.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe your graph will look something like this:

$$$

the y-axis measures the distance from home in miles.

the x-axis measures the time elapsed in hours.

traveling at 40 miles per hour, you will reach the park that's 20 miles away in 1/2 hour.

you start at 0 hours and you reach the park at .5 hours.

you stay at the park for 2 hours, therefore, you are 20 miles away from home from .5 hours to 2.5 hours.

you come home at 20 miles per hour, therefore it takes 1 hour to get back home.

you go from 20 miles away from home at 2.5 hours to 0 miles away from home at 3.5 hours.