algebra 2

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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?

• algebra 2 -

One less than the number of inches. (Five, in this case)

• algebra 2 -

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
using (3,2)
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)

• algebra 2 -

there are 55 blades of grass in 1 in.2 of the lawn. there are 230 blades of grass in 4 in.2 of the same lawn. how many blades of grass are in 3 in.2 of lawn

• algebra 2 -

There are 2 leaves along 3 in. of an ivy vine. There are 14 leaves along 15 in. of the same vine. Which equation models the number of leaves y along x in. of vine

• algebra 2 -

jkjk

• algebra 2 -

A 3-mi cab ride costs \$3.00. A 6-mi cab ride costs \$4.80. Find a linear equation that models cost c as a function of distance d.

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