12) The following situation can be modeled by a linear function

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12) The following situation can be modeled by a linear function. Make 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 ?$330 per month. For how many months can you lease the car with ?$3360??

 

Select the correct choice below and fill in the answer box to finalize your choice.

?(Simplify your answer. Do not include the? $ symbol in your? answer.)

 

A.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=

 

B. 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=

 

A car can be leased for _____ month(s) with ?$3360.

?(Round down to the nearest integer as? needed.)

Is a linear model reasonable for the? situation?

 

A.The linear model is most likely not? reasonable, because buying a car only consists of a single payment.

 

B.The linear model is most likely not? reasonable, because buying a car usually consists of a down payment and monthly payments that increase over time.

 

C. The linear model is most likely not? reasonable, because buying a car usually consists of a down payment and monthly payments that decrease over time.

 

D.The linear model is? reasonable, because buying a car usually consists of a down payment and constant monthly payments.

 

13)Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.

 

The next five births at a hospital all being boys.

 

 

Choose the correct answer below.

?(Simplify your? answer.)

 

A. The individual events are independent. The probability of the combined event is ____

 

B. The individual events are dependent. The probability of the combined event is _____

 

14)Create a short statement that expresses a possible relationship between the variables.

(rate of pedaling, speed of bicycle)

 

Choose the correct answer below.

 

A. As the speed of a bicycle? decreases, the rate of pedaling increases.

 

B. As the rate of pedaling? increases, the speed of a bicycle decreases.

 

C. As the speed of a bicycle? increases, the rate of pedaling decreases.

 

D. As the rate of pedaling? increases, the speed of a bicycle increases.

 

15)Determine whether the following individual events are overlapping or? non-overlapping. Then find the probability of the combined event.

Drawing either a red jack or a black ace on one draw from a regular deck of cards

Choose the correct answer below? and, if? necessary, fill in the answer box to finalize your choice.?(Create an integer or a simplified? fraction.)

A. The individual events are? non-overlapping. The probability of the combined event is ____

B. The individual events are overlapping. The probability of the combined event is ____