Tyrone has $900 in his retirement account, and Cooper has $400 in his. Tyrone is adding $1 per day, whereas Cooper is contributing $6 per day. Eventually, the two accounts will contain the same amount. How long will that take?
Write a system of equations, graph them, and type the solution.
we have that
x ------> number of days
y -----> amount in dollars in retirement account
so
Tyrone
y=x+900 -----> equation A
Cooper
y=6x+400 -----> equation B
solve the system of equations
equate both equations
x+900=6x+400
6x-x=900-400
5x=500
x=100 days
using a graphing tool
solve the system by graphing
Remember that the solution is the intersection point both graphs
so
see the attached figure
please wait a minute to draw the system
the solution is the point (100, 1,000)
that means
when x=100 days the amount is y=$1,000