Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why
2 answers:
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Answer:
- not linear
- somewhere between 184 and 186 (maybe)
Step-by-step explanation:
As you show, the weight differences are different for the same week differences, so the table is not linear. A graph (attached) can also show you the table is not linear.
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The highest rate of weight loss shown in the table is 7 lbs in 3 weeks, or 4 2/3 pounds in 2 weeks. The lowest rate of weight loss shown in the table is 5 lbs in 3 weeks, or 3 1/3 pounds in 2 weeks. Based on the rates shown in the table, we might expect the starting weight to be between 3 1/3 and 4 2/3 pounds more than the first table value:
Week 0 weight: between 184 1/3 and 185 2/3 lbs, estimated.
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A "line of best fit" for the data has a y-intercept of about 185 pounds, which is the midpoint between our two estimates above.
