Question

elijah opened a checking account with $125 and deposits $25 into it every week. he opened another checking account with $225 and deposits $35 into it every week. write a simplified expression to represent how much he will have in both accounts after w weeks. he will have (\boxed{}) dollars in the account after w weeks. (simplify your answer.)

Explanation:

Step1: Define first account value

The first account starts with $\$125$ and adds $\$25$ weekly. After $w$ weeks, its value is:
$125 + 25w$

Step2: Define second account value

The second account starts with $\$225$ and adds $\$35$ weekly. After $w$ weeks, its value is:
$225 + 35w$

Step3: Sum and simplify the totals

Add the two expressions and combine like terms:
$$(125 + 25w) + (225 + 35w) = (125+225) + (25w+35w) = 350 + 60w$$

Answer:

$350 + 60w$