posted by Anonymous .
There are 2 leaves along 3 in. of ivy vine. There are 14 leaves along 15 in. of the same vine. How many leaves are there along 6 in. of vine?
One less than the number of inches. (Five, in this case)
Are we supposed to assume the relation is linear, i.e., the number of leaves is directly proportional to the length of the vine??
If so, then let the length of the vine be x
let the number of leaves by y
we have two ordered pairs given (3,2) and (15,14)
slope = (14-2)/(15-3) =
then y = x + b
2 = 3 + b
b = -1
then y = x - 1 , where x ≥ 1
so when x = 6, y = 5
there would be 5 leaves for a 6 inch long vine.
(common sense would have shown that the number of leaves appears to be one less than the length of vine number)
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