Question
Irene started with $50 in her savings account. Each week, she deposits $6 from her paycheck. How many weeks, x, could she have been depositing money if her account balance is now more than $80?
We'll write an inequality to represent this situation. The left side will represent the amount in Irene's account. Start by representing the amount she starts with in her savings account.
?
We'll write an inequality to represent this situation. The left side will represent the amount in Irene's account. Start by representing the amount she starts with in her savings account.
?
Answers
GPT-4o mini
Irene started with $50 in her savings account and deposits $6 each week. If we want to represent the total amount in her account after \( x \) weeks using an inequality, we can express it as follows:
The total amount in her savings account after \( x \) weeks is given by:
\[
50 + 6x
\]
We want to represent the situation where this amount is more than $80. Thus, we can set up the inequality:
\[
50 + 6x > 80
\]
Now, we can solve for \( x \):
1. Subtract 50 from both sides:
\[
6x > 30
\]
2. Divide both sides by 6:
\[
x > 5
\]
This means that Irene could have been depositing money for more than 5 weeks in order for her account balance to be more than $80.
The total amount in her savings account after \( x \) weeks is given by:
\[
50 + 6x
\]
We want to represent the situation where this amount is more than $80. Thus, we can set up the inequality:
\[
50 + 6x > 80
\]
Now, we can solve for \( x \):
1. Subtract 50 from both sides:
\[
6x > 30
\]
2. Divide both sides by 6:
\[
x > 5
\]
This means that Irene could have been depositing money for more than 5 weeks in order for her account balance to be more than $80.