Question
Leah started with $20 in her savings account. Each week, she deposits $5 from her paycheck. How many weeks, x, could she have been depositing money if her account balance is now more than $170?
We'll write an inequality to represent this situation. The left side will represent the amount in Leah'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 Leah's account. Start by representing the amount she starts with in her savings account.
?
Answers
GPT-4o mini
Leah starts with $20 in her savings account. Each week, she deposits an additional $5. If we let \( x \) represent the number of weeks she has been depositing money, we can express the total amount in her account after \( x \) weeks as follows:
\[
20 + 5x
\]
We want to find out when her account balance is more than $170. Therefore, we can set up the inequality:
\[
20 + 5x > 170
\]
Now, let's solve the inequality to find the number of weeks \( x \):
1. Subtract 20 from both sides:
\[
5x > 150
\]
2. Divide both sides by 5:
\[
x > 30
\]
This inequality shows that Leah could have been depositing money for more than 30 weeks if her account balance is now more than $170.
\[
20 + 5x
\]
We want to find out when her account balance is more than $170. Therefore, we can set up the inequality:
\[
20 + 5x > 170
\]
Now, let's solve the inequality to find the number of weeks \( x \):
1. Subtract 20 from both sides:
\[
5x > 150
\]
2. Divide both sides by 5:
\[
x > 30
\]
This inequality shows that Leah could have been depositing money for more than 30 weeks if her account balance is now more than $170.