00:01
Okay, so this word problem is a, it's a word problem i see pretty often.
00:07
The first thing i want to notice is that it tells us what variables to use.
00:13
So x is going to be the amount of money invested in the 6 % account, and y is going to be the amount in the 8 .5 % account.
00:33
Okay, so we know that we are investing 25 ,000.
00:37
So we can just say, well, x plus y is going to have to be 25 ,000.
00:48
And because we know we want a certain amount of interest at the end of this, we want 2 ,000 total interest.
00:56
For our total interest in the x account is going to be 0 .06 times x.
01:04
And in the y account, it's going to be 0 .085 for the y account.
01:13
So that's actually part a.
01:14
It wants us to write two equations to represent this situation.
01:21
Okay, so part b it wants us to graph this in a viewing window that we can see what's happening in both cases.
01:28
So the first equation is going to start a little higher.
01:35
It's going to look like that.
01:38
We're just going to cross at that 25 ,000 mark and just have a one -to -one slope.
01:44
Our second equation is going to start a little bit lower and a little bit further out...