Answered

Shawna found out there are 4 yellow pencils for every blue pencil. Use Algebra write an equation for this situation . Explain your equation.



Answer :

carlosego

Answer: [tex]y=4x[/tex]

Step-by-step explanation:

1. Let's call:

[tex]y:[/tex] yellow pencils.

[tex]x[/tex]: blue pencils.

2. You know that Shawna found out there are 4 yellow pencils for every blue pencil, therefore, you can make the following expression based on this information:

[tex]y=4x[/tex]

3. Therefore, if there is 1 blue pencil, subtitute [tex]x=1[/tex] into the equation and you obtain:

[tex]y=4(1)[/tex]

[tex]y=4[/tex] (There are 4 yellow pencils)

4. If there are 2 blue pencils, then [tex]x=2[/tex] and:

[tex]y=4(2)\\y=8[/tex] (There are 8 pencils)

Answer:

The equation for this situation is, y =4x

Step-by-step explanation:

Unit rate is defined as the rates are expressed as a quantity 1 such as 5 miles per hour or 4 meter per second.

As per the given statement: Shawna found out there are 4 yellow pencils for every blue pencil.

⇒ for every blue pencil there are 4 yellow pencils.

Unit rate per blue pencil(m) = 4 yellow pencils

Let y represents the yellow pencils and x represents the blue pencils.

The equation of line is given by;  y =mx

where m is the slope or unit rate.

Substitute the value m = 4, we get;

[tex]y = 4x[/tex]

Therefore, the equation for this situation is, y =4x