Question

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

Answer 1

The equation for this situation is, y =4x

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;

`y = 4x`

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

Answer 2

Answer:
`y=4x`

Explanation:

1. Let's call:

`y:` yellow pencils.

`x`: 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:

`y=4x`

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

`y=4(1)`

`y=4` (There are 4 yellow pencils)

4. If there are 2 blue pencils, then
`x=2` and:

`y=4(2)\\y=8` (There are 8 pencils)