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The equation p = 1.65t² + 18.25t + 155 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 2018?




$364,000

$407,000

$427,000

$453,000

Respuesta :

Answer:

The correct option is 2. The best estimate for the price of the house in year 2018 is $407,000.

Step-by-step explanation:

The given equation is

[tex]p = 1.65t^2+18.25t+155[/tex]

Where p is  the average sale price of house (in thousands of dollars) and t is number of years since 2010.

We have to find the best estimate for the price of the house in year 2018. The difference between 2018 and 2010 is 8 years.

Substitute t=8.

[tex]p = 1.65(8)^2+18.25(8)+155[/tex]

[tex]p = 1.65(64)+18.25(8)+155[/tex]

[tex]p=406.6[/tex]

[tex]p\approx 407[/tex]

Therefore the estimate for the price of the house in year 2018 is 407 thousand dollars, i.e.,$407,000. Option 2 is correct.