Question

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?

Answer 1

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 2

Answer: $495,700

Step-by-step explanation:

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

In 2021,  $t=2021-2010=11$

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,

$p=1.95(11)^2+12.25(11)+125\\\Rightarrow\ p=495.7$

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