Question

Calculus/Pre-Calc

Your grandfather purchased a house for $55,000 in 1952 and it hasincreased in value according to a function y = v(x), where x is thenumber of years he has owned thehouse. These questions probe thefuture value of the house under various mathematical models.

(a) Suppose the value of the house is $75,000 in 1962. Assume v(x)is a linear function. Find a formula for v(x). What is the value ofthe house in 1995? When will thehouse be valued at $200,000?

(b) Suppose the value of the house is $75,000 in 1962 and $120,000in 1967. Assume v(x) is a quadratic function. Find a formula forv(x). What is the value of the housein 1995? When will the housebe valued at $200,000?

(c) Suppose the value of the house is $75,000 in 1962. Assume v(x)is a function of exponential type. Find a formula for v(x). What isthe value of the house in 1995?When will the hous ebe valued at$200,000?

I am getting stuck on parts (b) and (c). Any help would be greatlyappreciated.

Solutions

Expert Solution
No answers


Submit Your Answer