Question

Hi guys, so I really need help.. Samantha and Jake are training for a marathon. To prepare for this marathon, they have been training and tracking their progress periodically.
· In the first week of training, Jake ran an average of 7.75 minutes per mile. In the fourth week of training, he ran an average of 7.00 minutes per mile.
· In the first week of training, Samantha ran an average of 8.10 minutes per mile. In the sixth week of training, she ran an average of 6.60 minutes per mile.

Answer 1

Assuming that Jake and Samantha continue to train and improve their times at the same rate, your task is to determine which week they will have the same average minutes per mile. We will assume that the relationship is linear as they will be training for a maximum of 10 weeks. To complete this task follow the steps below:

Answer 2

1. Determine the equation of the line in standard form that represents Jake’s training progress. His progress corresponds to the points (1, 7.75) and (4, 7.00). You must show all of your work to receive full credit.




2. Determine the equation of the line in standard form that represents Samantha’s training progress. Her progress corresponds to the points (1, 8.10) and (6, 6.60). You must show all of your work to receive full credit.




3. Solve the system of equations. You must show all of your work to receive full credit.




4. In which week will Jake and Samantha have the same average minutes per mile? What will their time be?

Answer 3

Please help, I dont know what to do and this was due yesterday

Answer 4

I just wanted to welcome you to open study! :D
But I'll take it a step further, since this is your first time, and message someone who could help you

Answer 5

@phi

Answer 6

@Zarkon

Answer 7

@SWAG

Answer 8

@racer99

Answer 9

@ranga

Answer 10

I know that all of those people would be fully capable of helping you :)

Answer 11

Thank you so much PixieDust1

Answer 12

the question says
***We will assume that the relationship is linear***

linear here means "line" . We need to find the equation of a line.

Determine the equation of the line in standard form that represents Jake’s training progress. His progress corresponds to the points (1, 7.75) and (4, 7.00).

I would first find the equation of the line in point-slope form
see
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/point-slope-form/v/linear-equations-in-point-slope-form


then change that equation to "standard form"
see this for an example.
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/point-slope-form/v/point-slope-and-standard-form

Answer 13

Thanks :)

Answer 14

post your answer to part 1 when you get a chance.