Aparticipant in a 21 mile walkathon walks at a steady rate of 3 miles per hour. he thinks "the relationship between the number of miles left to walk and the number of hours i already walked can be represented by a line with slope of -3." do you agree with his claim? explain your reasoning

Yes, the participant is right.  

Step-by-step explanation:

Let h be the number of hours.

We have been that a participant in a 21 mile walkathon walks at a steady rate of 3 miles per hour. Then distance traveled in h hours will be 3h.

As the remaining distance is decreasing with each passing hour, so the remaining distance will be initial distance minus the distance covered in h hours. We can represent this information as:

, where y represents miles left to walk.

Since we know that slope-intercept form of an equation is: , where,

m= Slope of the line.

b = y-intercept or initial value.

Upon comparing our equation with slope-intercept form of equation we can see that slope of our line is -3, therefore, the participant is right.

6/20

step-by-step explanation: