You begin with $25 in a savings account and $50 in the checking account. each week you deposit $5 into savings and $10 into checking. after how many weeks is the amount in checking twice the amount in savings? write and solve an equation.

After 1 week

Step-by-step explanation:

We start with 25 dollars and each week we deposit 5 dollars. So the function that would modelate the total amount of money in function to the weeks passed would be:

f(x) = 25 + 5x (first x = 0, f(x) would be 25; after one week x=1 the function would give us the value 25 + 5 = 30,...)

We start with 50 dollars and each week we deposit 10 dollars. Therefore, our function of the total amount saved in terms of how many weeks have passed is:

g(x) = 50 + 10x (for x = 0, g(x)=50, after 1 week we have x = 1, g(x)=50 + 10 = 60

f(1) = 25 + 5(1) = 25 + 5 = 30

And the amount in the checking account after one week is:

g(1) = 50 +10(1) = 50 + 10 = 60

We can see that after one week, the amount in the checking account is twice the amount in savings.

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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