You have $80 in your bank account. Each week you plan to deposit $8 from your allowance and $15 from your paycheck. The equation bequals80plus(15plus8)w gives the amount b in your account after w weeks. How many weeks from now will you have $240 in your bank account?

Question

You have ​$80 in your bank account. Each week you plan to deposit ​$8 from your allowance and ​$15 from your paycheck. The equation bequals80plus​(15plus8​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$240 in your bank​ account?

GPT-4o mini · Answer

To find out how many weeks $ w $ it will take to have $ \$240 $ in your bank account, we can start with the equation you provided: $$ b = 80 + (15 + 8)w $$ First, simplify the equation: $$ b = 80 + 23w $$ Now, we want to find $ w $ when $ b = 240 $: $$ 240 = 80 + 23w $$ Next, subtract $ 80 $ from both sides: $$ 240 - 80 = 23w $$ $$ 160 = 23w $$ Now, divide both sides by $ 23 $: $$ w = \frac{160}{23} \approx 6.96 $$ Since $ w $ represents the number of weeks, you will need to round up because you cannot have a fraction of a week. Therefore, it will take approximately $ 7 $ weeks to have at least $ \$240 $ in your bank account.

You have ​$80 in your bank account. Each week you plan to deposit ​$8 from your allowance and ​$15 from your paycheck. The equation bequals80plus​(15plus8​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$240 in your bank​ account?

You have $80 in your bank account. Each week you plan to deposit $8 from your allowance and $15 from your paycheck. The equation bequals80plus(15plus8)w gives the amount b in your account after w weeks. How many weeks from now will you have $240 in your bank account?