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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 class=

Sagot :

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.

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