Answer:
4 weeks
Explanation:
Given information:
- Starting account balance = $85
- Weekly deposit = $8 + $10 = $18
Given equation:
![\sf b = 85 + w(10 + 8)](https://img.qammunity.org/2023/formulas/mathematics/college/i6yojvgcrgstsc1q7bpvr4x1c6hbg6mp7u.png)
(where b is the balance and w is the number of weeks)
To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:
![\implies \sf 85+w(10+8)=150](https://img.qammunity.org/2023/formulas/mathematics/college/le7ag7w005iwjtinjmmln3qudplf2zufus.png)
![\implies \sf 85+18w=150](https://img.qammunity.org/2023/formulas/mathematics/college/t0f3med8ho4g713m2rtc9453pu0p2g41bw.png)
![\implies \sf 85+18w-85=150-85](https://img.qammunity.org/2023/formulas/mathematics/college/xipxntsqpy70xn47ydvw8lwu5zqimwlv1j.png)
![\implies \sf 18w=65](https://img.qammunity.org/2023/formulas/mathematics/college/vazz5hjqw7ea6959krbpy5h196d0sn8uti.png)
![\implies \sf (18w)/(18)=(65)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/f6sgo95inxkxvo4kh90m820s4n6dkmywez.png)
![\implies \sf w=3.6111...](https://img.qammunity.org/2023/formulas/mathematics/college/sda21zhtz1aw8pxbwe9gxvah3upopeilq9.png)
![\implies \sf w=4\:weeks](https://img.qammunity.org/2023/formulas/mathematics/college/hs58m23yysh18eirgmrs8y3nped9naw7g7.png)
Therefore, there will be $150 in the bank account 4 weeks from now.