Question

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.
the price of a particular model car is $22,000 today and rises with time at a constant rate of $860 per year. how much will a new car cost in 3.3 years?

the equation used to model this situation is p = 22,000 + (860 × t), where p is the price of a car in dollars and t is time in years.
the price of a car after 3.3 years will be $\square$.

Explanation:

Step1: Identify the linear function

The linear function is given by \( p = 22000 + 860t \), where \( p \) is the price and \( t \) is time in years.

Step2: Substitute \( t = 3.3 \) into the function

Substitute \( t = 3.3 \) into \( p = 22000 + 860t \):
\( p = 22000 + 860\times3.3 \)
First, calculate \( 860\times3.3 \):
\( 860\times3.3 = 2838 \)
Then, add this to 22000:
\( p = 22000 + 2838 = 24838 \)

Answer:

24838