Question

find a linear model and use it to make a prediction. Q: there are 2 leaves along 3in.of and ivy vine. there are 14 leaves along 15in of the same vine. how many leaves are there along 6in.ofthe vine?

Answer 1

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.