The relationship between the time and the distance walked is an illustration of a linear equation.
The change in distance when time increases by 1 second
From the table, we have the following equations:
- Alana: y = x
- Gilberto: y = 2x
- Leanne: y = 2.5x
The above equations mean that if time t increases by 1 second,
- Alana's distance increases by 1 meter
- Gilberto's distance increases by 2 meters
- Leanne's distance increases by 2.5 meters
The change in distance when time increases by 5 seconds
When time increases by 5 seconds, the rate is multiplied by 5
This means that:
- Alana's distance increases by 5 meters
- Gilberto's distance increases by 10 meters
- Leanne's distance increases by 12.5 meters
The walking rate per minute
The walking rate per minute is the unit rate or slopes of the linear equations.
So, the walking rates per minute are:
- Alana's walking rate = 60 meters per minute
- Gilberto's walking rate = 120 meters per minute
- Leanne's walking rate = 150 meters per minute
Read more about linear equations at:
https://brainly.com/question/14323743