Question

You have ​$85 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$25 from your paycheck. The equation bequals85plus​(25plus7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$275 in your bank​ account?

Answer 1

Answer:
number of weeks = 6 weeks

Step-by-step explanation:
You initially have $85
Each week (w), you will deposit $7 in addition to $25

This means that the equation representing the amount (b) in the account will be:
b = 85 + (7+25) w
b = 85 + 32w

Now, we want to know in how many weeks will the amount saved be equal to $275.
To get the number of weeks, we will simply substitute with b = $275 in the above equation and solve for w as follows:
b = 85 + 32w
275 = 85 + 32w
275 - 85 = 32w
190 = 32w
w = 5.9 which is approximately 6 weeks.

Hope this helps :)