You have $70in your bank account. Each week you plan to deposit $6 from your allowance and $15 from your paycheck. The equation b=70+(15+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $170 in your bank account?

Question

You have $70in your bank account. Each week you plan to deposit $6 from your allowance and $15 from your paycheck. The equation b=70+(15+6)w gives the amount b in your account after w weeks. How many weeks from now will you have $170 in your bank account?

(1 point) There will be $170 in the account after weeks.

Answer 1

7 weeks.

First, we substitute b=170 into the equation:
170=70+(15+6)w

Then, we solve for w:
170=70+21w
100=21w
w=100/21
w=4.76

So, after approximately 4.76 weeks, you will have $170 in your bank account. Since we can't have a fraction of a week, we round up to the nearest whole number, which means after 5 weeks you will have $170 in your account.