$1)$

a$)(10$ points$)$ Using the two links below, figure out the monthly payments on a $$100,000,30$ year mortgage loan on April $1971$ and compare to the monthly payment on May $2014.$ What is the relationship between the interest rate and the fixed monthly payment $($be specific$)?$ Hint, on the Bank Rate site, enter $$100,000$ as the mortgage amount, $30$ years as the term in years, and the relevant interest rate $($take to two decimal places$),$ then click on calculate