Answer:
(a)
[tex]M=10+6x[/tex]
(b)
Total number of weeks is 8
Step-by-step explanation:
(a)
we are given
Chung has $10.00 in his coin jar
so, initial amount =$10.00
He plans to put $6.0 more into the jar every week
Let's assume number of weeks =x
so,
total money in jar after x week = (initial money) +(number of weeks)*(money put in every week)
so, we get
Total money in jar after x week is
[tex]M=10+6x[/tex]
(b)
we are given
Chung has $58
so, we can set M=58
and then we can solve for x
[tex]58=10+6x[/tex]
Subtract both sides by 10
[tex]58-10=10+6x-10[/tex]
[tex]48=6x[/tex]
Divide both sides by 6
and we get
[tex]x=8[/tex]
So,
Total number of weeks is 8