Question

The growth of two plant saplings A and B were observed for a period of 6 months. The graph shows the linear growth of the saplings, in centimetres. a) Find the initial height of Sapling A and Sapling B. b) Which sapling shows the greater amount of growth during the Number of Months

Answer 1

• Initial height: A-40cm, B-20cm

,

• Sapling B

Step-by-step explanation:

(a)The initial heights of the sapling occur when the value of the x-axis (number of months) is 0.

• The initial height of Sapling A = 40cm

,

• The initial height of Sapling B = 20cm

(b)To determine the sapling that shows the greater amount of growth, we find the slope of each of the lines.

Sapling A

Using points (0,40) and (3,50)

`\begin{gathered} \text{Slope}=(50-40)/(3-0) \\ =(10)/(3) \\ =3(1)/(3) \end{gathered}`

Sapling B

Using points (0,20) and (2,30)

`\begin{gathered} \text{Slope}=(30-20)/(2-0) \\ =(10)/(2) \\ =5 \end{gathered}`

The slope of the line representing the growth of Sapling B is greater, therefore, Sapling B shows the greater amount of growth during the Number of Months.