SOLUTION: a. Stephen is walking from his house to his friend Sharon's house. When he is 12 blocks away, he looks at his watch. He looks again when he is 8 blocks away and finds that 6 minute

Question 937058: a. Stephen is walking from his house to his friend Sharon's house. When he is 12 blocks away, he looks at his watch. He looks again when he is 8 blocks away and finds that 6 minutes have passed. Write two ordered pairs for these data in the form (time, blocks).
b. Write a linear equation for these two points.
c. What is the total time it takes Stephen to reach Sharon's house?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = time
y = number of blocks remaining to sharon's house
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(0,12)
(6,8)
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slope = dy/dx
m = (12-8)/(0-6)
m = -4/6 = -2/3
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y - 12 = (-2/3)(x - 0)
y = (-2/3)x + 12
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time to reach sharon's:
0 = (-2/3)x + 12
(2/3)x = 12
x = 12*3/2
x = 18 minutes
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