Question

Miguel and Kala each opened a savings account today. Miguel opened his account with a starting amount of $ 320 , and he is going to put in $ 85 per month. Kala opened her account with a starting amount of $ 820 , and she is going to put in $ 35 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 months.

(b)
Write an equation to show when the two accounts would have the same amount of money.

Answer 1

Miguel's account: M(x) = 320 + 85x

Kala's account: K(x) = 820 + 35x

b) To find when the two accounts would have the same amount of money, we need to set M(x) equal to K(x) and solve for x:

320 + 85x = 820 + 35x

Simplifying the equation, we get:

50x = 500

Dividing both sides by 50, we get:

x = 10

Therefore, the two accounts would have the same amount of money after 10 months.