Question

Your grandfather purchased a house for $45,000 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. (Let

x = 0 represent the year 1952.)

Your grandfather purchased a house for $45,000 in 1952 and it has increased in value according to a functiony-x), where x is the number of years owned. These questions probe the future value of the house under various mathematical models. (Let x-0 represent the year 1952) (a) Suppose the value of the house is $60,000 in 1962. Assume x) is a linear function. Find a formula for v(x). vix) What is the value of the house in 1995? Using this model, in what year will the house be valued at $200,000? (Round your answer to the nearest year.) (b) Suppose the value of the house is $60,000 in 1962 and S 120 000 in 1967. Assume v x) is a quadratic function. Find a formula for nr Round your values to two decimal places. What is the value of the house in 1995? Using this model, in what year will the house be valued at $200,000? (Round your answer to the nearest year.) (c Suppose the value of the house is $50,000 in 1962. Assume v(x) is a function of exponential type. Find a formula for v(x) (Round your values to four decimal places.) e vx) is vix) What is the value of the house in 1995? (Round your answer to the nearest dollar Using this model, in what year will the house be valued at $200,000? (Round your answer to the nearest year)

Answer 1

Ana) )LN ろ lent ↑ vcn)-usace + 1,500 .elt Answer (0)

(b) et 2 (リ at χ= 33 [191 s-56]