Question

You have ​$85 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$15 from your paycheck. The equation b=85+​(15+7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$210 in your bank​ account?

Answer 1

Answer:

6 weeks

Step-by-step explanation:

So the amount b we will have in our account w weeks from now is given by the equation:

$b=85+(15+7)w$

To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:

$210=85+(15+7)w$

Subtract 85 from both sides:

$125=(15+7)w$

Add within the parentheses:

$125=22w$

Divide both sides by 22:

$w=125/22\approx5.68\approx6$

In other words, we will have $210 after approximately 6 weeks.