Originally Posted by master of none
OK, please help me with this question!
Nathaniel is setting up a jogging schedule for himself. He plans to jog 2 miles each day for the first week, and add 1.5 miles each week. (Question in my mind, is that 1.5 miles per day each week or 1.5 miles per day which would be 1.5/7)

Write an equation in the slope-intercept form that relates the number of miles jogged each day, y, to the week number, x, of his schedule. (What would the y intercept be, the y at week 1 or the y before he starts jogging, IOW, when does x = 0?)

During what week of his jogging schedule will he jog 8 miles each day? (the way this is worded makes me think that he is adding 1.5 miles per day each week, is that what you would think?)

That's the way I read it. In week one he jogs 2 miles/day, in week 2 he jogs 3.5 miles/day, in week 3 he jogs 5 miles/day, etc, and the question is in which week he'll reach 8 miles/day.

So I'd write out the initial expression as 2 + 1.5(x - 1) = y, and solve from there.