### Chap 16 (Activity 1) What does the line say?

With reference to the graph above, give a scenario that could be represented by the graph above.
Remember to 'name' the horizontal and vertical axes so that you could describe the relationship clearly.
At the end of the description, make an attempt to write down the equation for the graph (with y being the vertical axis, x being the horizontal axis)

The relationship between the horizontal (x) and vertical (y) axes:

1. X=Height/Cm
Y=Time/years
The graph shows how much someone grows over a period of 6 years
10x=2y
5x=y

1. It's an interesting and relevant scenario to talk about height growth over a period of time.
However, you would have to look at the context more closely.

Does the vertical axis represent the height? or the "amount of height increase"? check what is the starting (initial) value of the vertical axis.

Good attempt of the equation. However need to look at it more carefully to interpret.
When x = 10, we have y = 2
What does it tell about the relationship between x and y?

2. As a person grows older, the number of tasks he must do in his daily life would increase.

3. This comment has been removed by the author.

4. x axis : The days of the experiment
y axis : how tall the plant is

So this graph can mean that as the days increase in numbers, the plant will increase in height

5. X axis:The number of days since the recruitment company started.
Y Axis:The number of workers/employee in that company.
This means as the number of days since the company started the number of employees or workers in that company increase.

6. The graph can represent the changes in the number of trees in a forest reserve, where x axis represents time in years, y axis represents the total number of trees in hundreds.

(4-2)/(20-10)=1/5
Equation:y=mx+c
y=1/5*x+c
2=1/5*10+c
c=0
Therefore the equation of the graph is y=x/5

7. 'X' axis: Amount of fertiliser/g
'Y' axis: Height of the green bean plant/cm

10x= 2y
y= 5x

This means that the more the amount of fertiliser, the taller the plant grows.

8. x-axis: time
y-axis: monetary value of house

9. The relationship between X-coordinate and Y-coordinate is 10x = 2y

1. This can be then applied to different scenarios