Question

carlos and isabel each opened a savings accou account with a starting amount of $490, and he month. isabel opened her account with a start going to put in $40 per month. let x be the number of months after today. (a) for each account, write an expression for the amount of money in the account after x months. amount of money in carloss account (in dollars) = amount of money in isabels account (in dollars) = (b) write an equation to show when the two accounts would have the same amount of money.

Explanation:

Step1: Define Carlos's account value

The starting amount is $490, plus $30 per month.
$490 + 30x$

Step2: Define Isabel's account value

The starting amount is $490, plus $40 per month.
$490 + 40x$

Step3: Set values equal for equal balance

Equate the two expressions from Step1 and Step2.
$490 + 30x = 490 + 40x$

Answer:

(a)
Amount of money in Carlos's account (in dollars) = $490 + 30x$
Amount of money in Isabel's account (in dollars) = $490 + 40x$

(b)
$490 + 30x = 490 + 40x$