Posted by Jake on Wednesday, January 7, 2009 at 7:46pm.
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 2 ordered pairs for these data in the form (time, blocks).
Write a linear equation for these 2 points.
What is the total amount of time it takes Stephen to reach Sharon's house? Explain please.
Algebra I - Damon, Wednesday, January 7, 2009 at 7:58pm
(time t, blocks d)
(0 , 12)
(6 , 8 )
d is distance from house in blocks
d = m t + b
12 = 0 + b so b = 12
8 = m *6 + 12
-4/6 = m
m = -2/3
d = -(2/3) t + 12
0 = -(2/3) t + 12
t = (3/2) * 12 = 18 minutes
Algebra I - Reiny, Wednesday, January 7, 2009 at 7:59pm
the two ordered pairs from your information are
(0,12) and (6,8)
slope = (12-8)/-6
So Blocks = (-2/3)t + b
12 = 0 = b
b = 12
so the linear equation is
Blocks = (-2/3)Time + 12
when he reaches Sharon's house Blocks = 0
so 0 = (-2/3)time + 12
(2/3)time = 12
time = 18
it will take 18 minutes
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