# Pre-calculus Problems

Please help with the following posting. Provide step by step calculations for each.

Your Grandfather purchased a house for $55,000 in 1952 and it has increased

in value according to a function y = v(x), where x is the number of years owned.

These questions probe the future 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 of the house in 1995? When will the house be valued at $200,000?

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

the house be 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 is the value of the house in 1995? When will the house be valued at $200,000?

https://brainmass.com/math/basic-calculus/pre-calculus-problems-375046

#### Solution Summary

This posting contains the solution to the given calculus problems.