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The following situation can be modeled by a linear function. Write an equation for the linear function and use it to answer the given question. Be sure you clearly identify the independent and dependent variables. Then briefly discuss whether a linear model is reasonable for the situation described.
The price of a particular model car is ​$16 comma 000 today and rises with time at a constant rate of ​$990 per year. How much will a new car of this model cost in 3.8 ​years?
Select the correct choice below and fill in the answer box to complete your choice.
​(Simplify your​ answer.)
A.
The independent variable is the price​ (p), in​ dollars, and the dependent variable is time​ (t), in years. The linear function that models this situation is tequals
nothing.
B.
The independent variable is time​ (t), in​ years, and the dependent variable is the price​ (p), in dollars. The linear function that models this situation is pequals
nothing.

Respuesta :

Answer:

B.  The independent variable is time​ (t), in​ years, and the dependent variable is the price​ (p), in dollars. The linear function that models this situation is p=16000+990t.

  • p(3.8)=$19,762

Step-by-step explanation:

The price(p) of a particular model car is ​$16,000 today and rises with time(t) at a constant rate of ​$990 per year.

The classification of variables are as follows.

  • Independent Variable-Time(t)
  • Dependent Variable-Price(p)

The linear function is given as:

p=16000+990t

Since there is a certain increase in price per year, a linear function is reasonable for the given scenario.

In 3.8 years,

Cost of a New Car of same model, p=16000+990(3.8)=$19,762

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