Answer:
(a)
![M=10+6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jcoyulvcai6pisbk5yej43dp7kxp9949gu.png)
(b)
Total number of weeks is 8
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
![M=10+6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jcoyulvcai6pisbk5yej43dp7kxp9949gu.png)
(b)
we are given
Chung has $58
so, we can set M=58
and then we can solve for x
![58=10+6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2hwz954lg3fg9xxosf771jwzmkqr0i5i9f.png)
Subtract both sides by 10
![58-10=10+6x-10](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wzoxw6ujohcmddoq5nqpe2dhl260bo20px.png)
![48=6x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xpxxtdm7yyee6zcnvf0xfoukwxmubzkj87.png)
Divide both sides by 6
and we get
![x=8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/po1bnrefckqkeun39qn4rzy58sb9nxf1du.png)
So,
Total number of weeks is 8