Question

You have ​$70 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$10 from your paycheck. The equation b = 70 + ​(10 + 7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$185 in your bank​ account?

Answer 1

After 7 weeks from now you will have ​$185 in your bank​ account.

Explanation:

We are given that you have ​$70 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$10 from your paycheck. The equation b = 70 + ​(10 + 7​)w gives the amount b in your account after w weeks.

The equation is given by;

b = 70 + (10 + 7)w

Now, in the question, it is given that you have ​$185 in your bank​ account, that means;

$185 = $70 + $17w

Finding the value of w(weeks);

$17w = $185 - $70

$17w = $115

w =
`(\$115)/(\$17)`

w = 6.76 weeks or 7 weeks (approx).

Hence, after 7 weeks from now you will have ​$185 in your bank​ account.