The equation p = 1.95t² + 12.25t + 125 approximates the average sale price p of a house (in thousands of dollars) for years t since 2010.

What is the best estimate for the price of the house in year 2021?

Respuesta :

Resolving   p = 1.95t² + 12.25t + 125

year=2010   for t=0

year=2021   for t=(2021-2010)=11 

We have that

p = 1.95*(11) ^² + 12.25*(11) + 125

p =495.70 thousands of dollars

p =495700  dollars 

is the best estimate for the price of the house in year 2021

Answer: $495,700

Step-by-step explanation:

Given: The equation [tex]p=1.95t^2+12.25t+125[/tex] approximates the average sale price p of a house (in thousands of dollars) for years t since 2010.

In 2021,  [tex]t=2021-2010=11[/tex]

To find the best estimate for the price of the house in year 2021, we need to substitute t=11 in the given equation we get,

[tex]p=1.95(11)^2+12.25(11)+125\\\Rightarrow\ p=495.7[/tex]

Hence, the best estimate for the price of the house in year 2021 is $495,700.