Question

You have $85 in your bank account. Each week you plan to deposit $9 from your allowance and $25 from your paycheck. The equation b = 85+ (25 +9)w gives the amount b in your

account after w weeks. How many weeks from now will you have $250 in your bank account?

Answer 1

To find out when you will have $250 in your bank account, plug in the value into the equation b = 85 + (25 + 9)w and solve for w. The calculation shows you will have just over $250 after 4.85294117647 weeks, but since you cannot have a partial week, it rounds up to 5 weeks.

Step-by-step explanation:

To calculate in how many weeks you will have $250 in your bank account, use the equation b = 85 + (25 + 9)w. Here, b represents the total balance in your account and w is the number of weeks. Substitute b with $250 and solve for w.

So, $250 = 85 + (25 + 9)w

$250 = 85 + 34w

$250 - 85 = 34w

$165 = 34w

w = $165 / 34

w = 4.85294117647

Since the number of weeks cannot be a fraction, you will have $250 in your bank account after 5 weeks, because you will exceed $250 just after the end of the fourth week.