nicholsb38
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Match each diagram with a description and an equation.

Sagot :

MrRoyal

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

View image MrRoyal
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