Question

Paul opens a savings account with $350. After 4 months of making regular monthly deposits, his balance is $550. Write the linear model to represent the total amount of money paul deposits into his account after x months After how many months will paul have saved $2000.?

Answer 1

Answer: 8.25 months

Explanation:

Let's start by finding the slope of the line, which represents the rate at which Paul is depositing money into his savings account each month. We can use the given information to calculate the slope:Slope = (Ending balance - Starting balance) / (Number of months)

Slope = ($550 - $350) / (4 months)

Slope = $200 / monthSo, the linear model to represent the total amount of money Paul deposits into his account after x months is:y = 200x + 350where y is the total amount of money Paul has saved after x months.To find out after how many months Paul will have saved $2000, we can substitute y = $2000 into the equation and solve for x:2000 = 200x + 3501650 = 200xx = 8.25

Therefore, after 8.25 months, or about 8 months and 1 week, Paul will have saved $2000.