Question

spaced practice
noah had $450 in his checking account when ava opened a checking account with zero dollars.

• noah deposited $40 into his account each week for ( x ) weeks.
• ava deposited $60 into her account each week for ( x ) weeks.
• the accounts did not earn interest.

write an inequality that represents this situation when the amount of money in noah’s account was greater than the amount of money in ava’s account.
enter the answer in the space provided. use numbers instead of words.

Explanation:

Step1: Define Noah's and Ava's account balances

Noah's initial balance is $450, and he deposits $40 each week for \( x \) weeks. So his balance after \( x \) weeks is \( 450 + 40x \).
Ava's initial balance is $0, and she deposits $60 each week for \( x \) weeks. So her balance after \( x \) weeks is \( 0 + 60x = 60x \).

Step2: Set up the inequality

We need to find when Noah's account is greater than Ava's account. So we set up the inequality:
\( 450 + 40x > 60x \)

Answer:

\( 450 + 40x > 60x \)