Graphs such as line and tape diagrams can be used to represent equations.
- The equation of the first diagram is y = 0.6x,and it represents a decrease by 0.4 or 2/5
- The equation of the second diagram is y = 1.83x,and it represents an increase of 5/11 or 0.83
Diagram (a)
In this diagram, all the x boxes (5 boxes) are shaded, while all the y boxes (3) are shaded.
So, the equation is:
[tex]y = \frac{3}{5}x[/tex]
Express as decimal
[tex]y = 0.6x[/tex]
The ratio (0.6) is less than 1.
So, it represents a decrement.
And the decrement (d) is:
[tex]d = 1 - 0.6[/tex]
[tex]d =0.4[/tex]
Diagram (b)
In this diagram, all the x boxes (6 boxes) are shaded, while part of the y boxes (6 of the 11) are shaded.
So, the equation is:
[tex]y = \frac{11}{6}x[/tex]
Express as decimal
[tex]y = 1.83x[/tex]
The ratio (1.83) is greater than 1.
So, it represents an increment.
And the increment (d) is:
[tex]d = 1.83 - 1[/tex]
[tex]d = 0.83[/tex]
See attachment for the diagrams at:
Read more about diagrams and equations at:
https://brainly.com/question/14323743
