Joe vs. Kate's Bank Balances
Kavneet Kailley #8
Statement of the Situation
Identification and Classification of the Variables
Table of Values
Joe: B = 250m + 350
Kate: B = 300m + 200
The solution of this linear system represents the month that both twins have the same amount of money in the bank. The point of intersection shows that both Joe and Kate have $1,100 at 3 months. This is the point where Kate catches up to Joe and both now have the same amount of money in the bank. After this point, there is a change and Kate now has a higher bank balance than Joe ( her line is above Joe's). It took three months for Kate to have the same bank balance as Joe, while earning the same amount of money per month but saving different amount. Before this point, Joe had more money in the bank than Kate ( his line was above Kate's).
Joe starts off with more money than Kate but by saving more each month, Kate catches up to Joe and has the same amount of money ( $1,100 at 3 months) but then passes Joe and has more money than Joe.