A price for a house in thousands of dollars t years after 2015 is given by the model P(t)=190⋅(1.038)t Answer the following questions. 1) What was the price of the house in 2015? 2) Is the price increasing or decreasing? By how much each year? 3)Use the model to predict the price in the year 2021.
A price for a house in thousands of dollars t years after 2015 is given by the model
P(t)=190⋅(1.038)t
Answer the following questions.
1) What was the price of the house in 2015?
2) Is the price increasing or decreasing? By how much each year?
3)Use the model to predict the price in the year 2021.
4) In what year the price will reach $290,000?
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(1)
It is given that price for a house in thousands of dollars t years after 2015 is given by the model .
To determine price of the house in 2015, substitute in :
Thus, the price of the house in 2015 is $190 thousands.
(2)
Substitute in :
From above, it can be noted that the price increasing with respect to time.
Obtain the difference:
Thus, the price is increasing by approximately 8 dollars every year.
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