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Dale wants to see how far from his house he can walk in 24 hours. When he starts timing, he is 12 miles from his home. Dale is a slow walker, and after 7 hours, he is only 17 miles from his house. Using this information...

1) find the equation of the line that expresses Dale's journey (HINT: let y=distance from house, x=time) 2) determine the significance of the x-intercept 3) calculate how far Dale is from his house after the 24 hours have elapsed.

ANSWER:

1) (0, 12) (7, 17) m= (17-12)/(7-0)= 5/7 y=5/7x + 12

2) The x-intercept (0, 12) represents the fact that Dale was 12 miles from his home when the timing began.

3) y=5/7x + 12 y=5/7(24)+12 y=120/7 +12 y=120/7 + 84/7

y=204/7 or approximately 29 miles