Question

Solve the problem. joey borrows $2,400 from his grandfather and pays the money back in monthly payments of $200.

write a linear function that represents the remaining money owed l(x) after x months.

Answer 1

Joey's remaining debt after x months can be calculated using the linear function L(x) = 2400 - 200x, where 2400 is the initial loan amount and 200 is the monthly payment amount.

Step-by-step explanation:

To solve the problem of how much Joey owes after x months of repayment, we first need to write a linear function that represents the remaining money owed, L(x). The initial loan amount is $2,400 and Joey pays back $200 each month.

Steps to Create the Linear Function

Identify the monthly repayment amount, which is $200.

Write the linear function where L(x) is equal to the initial amount minus the product of the monthly payment and the number of months. So, the linear function will be L(x) = 2400 - 200x.

Using this function, we can calculate the remaining balance after any number of months, x, by simply plugging in the value of x into the equation.