Question

the relationship between the distance run and the time for Kofi can be represented by the equation y= 15.555x , where he ran y yards in x seconds. Which two equations could be used to represent this relationship for Bella and Elsie ?​

Answer 1

Answer: OPTION D.

Explanation:

The complete exercise is attached.

The equation of a line that passes trough the origin is:

`y=mx`

Where "m" is the slope of the line.

In this case, you know that the distance run and the time for Kofi can be represented by the following equation:

`y= 15.555x`

Then, you can identify that the slope is:

`m_1=15.555`

You can observe in the figure that:

1. The slope of the line that represents the relationship between the distance run and the time for Bella, is greater than the slope of the line that shows the relationship between the distance run and the time for Kofi.

Then, you know that this must be:

`m_2>15.555`

2. The slope of the line that represents the relationship between the distance run and the time for Elsie, is less than the slope of the line that represents the relationship between the distance run and the time for Kofi.

This means that its slope must be:

`m_3<15.555`

Based on this, you can conclude that the equation that could be used to represent this relationship for Bella is:

`y=15.85x`

And for Elsie, the equation is:

`y=15.15x`