Question

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 cost of leasing a car is \\$800 for the down payment and processing fee plus \\$340 per month. for how many months can you lease the car with \\$3430?

select the correct choice below and fill in the answer box to complete your choice.
(simplify your answer. do not include the \\$ symbol in your answer.)

a. the independent variable is time (t), in months, and the dependent variable is amount paid (p), in dollars. the linear function that models this situation is p =

b. the independent variable is amount paid (p), in dollars, and the dependent variable is time (t), in months. the linear function that models this situation is t =

Explanation:

Identify variables

Using the Independent and Dependent Variables knowledge point

• Independent variable: time \(t\), in months.
• Dependent variable: amount paid \(p\), in dollars.

Formulate linear equation

Using the Linear Function Modeling knowledge point

$$ p = 340t + 800 $$

Solve for time

Using the Linear Function Modeling knowledge point

$$
LATEXBLOCK0
$$

Thus, you can lease the car for a maximum of 7 full months.

Answer:

• (A) The independent variable is time (t), in months, and the dependent variable is amount paid (p), in dollars. The linear function that models this situation is p = 340t + 800 (Correct answer)
• (B) The independent variable is amount paid (p), in dollars, and the dependent variable is time (t), in months. The linear function that models this situation is t =