Question

The table represents the observed number of leaves y on x branches of a tree. Calculate the rate of change between 3 and 4 branches.

x y
2 42
3 75
4 100
5 119


What is the rate of change?

Answer 1

Answer:

25

Step-by-step explanation:

The rate of change of number of tree y on x branches of a tree is expressed as shown;

m = Δy/Δx where;

m is the rate of change

Δy is the change in number of leaves  between 3 and 4

Δx is change in number of branches  between 3 and 4

m = Δy/Δx = y₂-y₁/x₂-x₁

From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3

m = 100-75/4-3

m = 25/1

m = 25

Hence the rate of change between 3 and 4 branches is 25