In July 2012, Alvarado Niles bought a house for $185,000. In September 2013, a nearby house with the same floor plan was sold for $206,000. (a) Develop the mathematical model that represents the value of the house. (Write your model in terms of t, where t is measured in months after July 2012. Round the coefficient of t to seven decimal places.) v(t) = 1500 (b) Use the model to predict when the house will double its 2012 value. (Round your answer to one decimal place.) months later (c) Use the model to determine the value of the house one year after Mr. Niles purchased it. (Round your answer to the nearest whole number.) $ (d) Use part (c) to determine Δv/Δt, that is, the rate at which the value of the house grew. (Round your answer to the nearest cent.) $ per mont
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
In July 2012, Alvarado Niles bought a house for $185,000. In September 2013, a nearby house with the same floor plan was sold for $206,000.
(b) Use the model to predict when the house will double its 2012 value. (Round your answer to one decimal place.)
months later
(c) Use the model to determine the value of the house one year after Mr. Niles purchased it. (Round your answer to the nearest whole number.)
$
(d) Use part (c) to determine
$ per month
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