Band students are tested on, and required to pass, a certain number of scales during the year. As of today, Patrick has passed 13 scales, whereas his friend Leo has passed 2 of them. Going forward, Patrick has committed to passing 3 scales per week, and Leo has committed to passing 4 per week. At some point soon, the two friends will have passed the same number of scales. How many scales will that be? How long will that take?
@iambatman @e.mccormick

Question

yolo_king · Answer

Hmmmm... lemme think about this, I might have to draw it out.

pooja195 · Answer

:)

yolo_king · Answer

Is that supposed to be 2 or 20 ?

pooja195 · Answer

2

yolo_king · Answer

oh ok

e.mccormick · Answer

Well, what numbers and variables can you pull out from it?

pooja195 · Answer

Wel1
Variables - x and y 
x=weeks
y=scales 
and i know that there are 13 scales...

e.mccormick · Answer

Well, you are trying to compare two people, patric and leo, on the same thing, number of scales.

e.mccormick · Answer

They are learning at simple linear rates, so you need to make one line for each person and see when they cross, so when they will be equal.

pooja195 · Answer

ok I have one of the equations if its right....y = 3x + 13

e.mccormick · Answer

Yah, that sort of format is what you want.

pooja195 · Answer

im not sure how to find the secound equation.... i know since it says 4 per week we would multiply 
so 4x?

e.mccormick · Answer

Yes.  And what is the starting number Leo has?

e.mccormick · Answer

Yolo, no.  Nobody is learning 2 a week.

pooja195 · Answer

leo has 2 right?

e.mccormick · Answer

Yes.  So add that to the equation.  It is the whole y=mx+b thing where b is the y intercept.  In this sort of fomula, b is the starting point.

pooja195 · Answer

so y=4x+2

e.mccormick · Answer

Yep.  And what you want is where they have the same number of scals.

e.mccormick · Answer

So... what did you get?