the amount of money remaining to be paid on a loan, y, is a function of the number of months, x. Suppose that
monthly payments of $225 are to be made on an original loan
amount of $3,000.
Write an expression in terms of x that gives the amount of money remaining to be paid.
$3,000 - $225x
The expression is correct.
The complete mathematical relationship including the function y(x) is:
y(x) = 3000 - 225x
State that the unit of y(x) is in dollars, and x represents the number of monthly payments made.
Note: the above assumes zero interest rate.
To calculate the amount of money remaining to be paid on the loan, you can use the formula:
Amount remaining = Original loan amount - (Monthly payment * Number of months)
In this case, the original loan amount is $3,000 and the monthly payment is $225. The number of months would be represented by x. So, the expression that gives the amount of money remaining to be paid would be:
Amount remaining = $3,000 - ($225 * x)
This expression calculates the remaining loan amount by subtracting the total monthly payments made (225 * x) from the original loan amount of $3,000.