Question

The Shannon family owns two properties. The first property is a house and the second property is a parcel of land. The following functions represent the value of both properties, in thousands of dollars, after x years.

House: f(x) = 215(1.075) ^x
Land: g(x) = 75(1.04) ^x

Write function t that represents the total value, in thousands of dollars, of the Shannon family's two properties.

Answer 1

Value of the house (in thousands of dollars): f(x)=215(1.075)^x
Value of the parcel of land (in thousands of dollars): g(x)=75(1.04)^x

Total value (in thousands of dollars) of the Shannon family's two prperties: t(x)

t(x)=f(x)+g(x)
t(x)=215(1.075)^x+75(1.04)^x

Answers: The total value, in thousands of dollars, of the Shannon family's two properties is 215(1.075)^x+75(1.04)^x