Loan Principal The table shows the loan principal (the amount of money that a certai...

Loan Principal The table shows the loan principal (the amount of money that a certain bank will lend) on the basis of a monthly payment of $600 per month with a 30-year term.

a. What are the units for the change, the average rate of change, and the percentage change in the loan amount when the interest rate changes?

b. Determine the change, the average rate of change, and the percentage change in the loan amount when interest rates increase from 5% to 6.25%.

c. Consider the inverse relationship represented by reversing the columns in the table. What are the input units and the output units of the inverse relationship? What are the units for the change, the average rate of change, and the percentage change of the inverse relationship?

d. For the inverse relationship, determine the change, the average rate of change, and the percentage change in the monthly APR when the principal increases from $97.4 thousand to $111.77 thousand.