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 2021Answer: $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.