Assume 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 17,000 today and rises with time at a constant rate of 880 per year. How much will a new car of this mode cost in 3.6 years? (Simplify your answer.) A. 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=17000+(880times t) B. 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 t=square The price of a car after 3.6 years will be s (Simplify your answer.)

## Step 1The problem involves a linear function, which is a function of the form , where is the slope (rate of change) and is the y-intercept (initial value).## Step 2In this case, the price of the car is the dependent variable (y), which depends on the time (t), the independent variable (x). The initial price of the car (when ) is 880 per year, which is the slope (m).## Step 3The linear function that models this situation is .## Step 4To find the price of the car after 3.6 years, we substitute into the equation.