Question

"A student has a savings account with $475 in it.

She deposits $125 of her paycheck into the account

every week. Her goal is to save $7,000 for college.

To do: Write an equation that represents the

relationship between the dollar amount in her account

and the number of weeks of saving.

NOTE:

Let x = number of weeks since the initial deposit

Let y = total amount in the account
"

Answer 1

ok lets do this...

Step-by-step explanation:

Let's break down the information given and formulate the equation based on the relationship between the dollar amount in her account and the number of weeks of saving.

Given information:

Initial amount in the account (x = 0 weeks): $475

Weekly deposit: $125

Goal amount: $7,000

Let x be the number of weeks since the initial deposit, and y be the total amount in the account.

At the start, when x = 0 weeks, the total amount y in the account is the initial amount: $475.

With each passing week, the student deposits an additional $125 into the account.

Therefore, the equation that represents the relationship between the dollar amount in her account (y) and the number of weeks of saving (x) is:

y = 475 + 125x

Step-by-step explanation:

The constant term "475" represents the initial amount in the account.

The term "125x" represents the amount she deposits with each passing week. Since she deposits $125 every week, the amount deposited after x weeks is 125x.

As the number of weeks (x) increases, the total amount in the account (y) will increase as well.

This equation captures the growth of the savings account as she continues to deposit money from her paycheck every week.