165k views
3 votes
Then he drove home at a speed of 5 blocks every 4 minutes. How do I graph that?

Then he drove home at a speed of 5 blocks every 4 minutes. How do I graph that?-example-1
User Aero
by
7.9k points

1 Answer

3 votes

We have to graph the position versus time.

We start by identifying the segments.

1) The initial position (x=0, y=0) is his house.

2) He drove for 4 minutes at a speed of 1 block/min. This means that we have a line with slope m=1 from x=0 to x=4. The value of y when x=4 is also 4.

Then, the final point of this segment is (4,4).

3) He spent 3 minutes in the store. This means that y=4 between x=4 and x=4+3=7.

The final point of this segment is (7,4).

4) He drove at a speed of 2 blocks/minute (slope m=2) for 6 blocks until he got to the bank. Then, the new position is y=7+6=13. If the slope is m=2, then he will spent 6/2=3 minutes to reach the bank. As he already spent 7 minutes, he arrived to the bank at x=7+3=10.

Then, the final position of this segment will be (10,13).

5) Then, he returns at a speed of 5 blocks every 4 minutes. This correspond to a slope m=-5/4. This slope is negative as he is now returning to his house and, then, y is decreasing.

User AlQuemist
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories