# Using the graphical method, what are distance, time, and average speed related to the following problem?jason leaves home at 7.00 and drives at a speed of 70km/hr for 45 minutes.he then reduces his...

Using the graphical method, what are distance, time, and average speed related to the following problem?

jason leaves home at 7.00 and drives at a speed of 70km/hr for 45 minutes.he then reduces his speed to 40km/hr and continues at this speed until 9.00 he stopped for a visit at his friends house until 10.00 he then returned home at a steady speed of 60km/hr . use the graph to find the approximate answers

A.Distance to his friend's house

B.time he returned

C.Average speed driving hom

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### 1 Answer

Set up a coordinate system with the horizontal axis representing time; the origin should represent 7pm in increments of 1hour. The vertical axis will represent the distance from Jason's house; increment by 10km.

You will draw a line segment beginning at the origin with slope of 70 from 0 to 3/4; the next line segment will start at the end of the previous segment and will have a slope of 40 extending from 3/4 to 2.

The next segment will be a horizontal segment beginiing at the end of the previous segment and running from 2 to 3(representing 9 to 10pm). The last segment begins at the endpoint of the horizontal segment and has a slope of -60 and extends until it reaches the horizontal axis.

(1) **The distance to his friend's house is a little over 100km. (Algebraically it is 102.5km)**

(2) **He returned home approximately 4.7 hours after 7pm or 11:42pm** (Algebraically it is 113/24 hours after 7pm)

(3) Not sure what is being asked here as the problem gives you that he travelled 60km/hr, so that is his average speed returning home.