### Depreciation of a Car's Value**Problem Statement:**A new car worth $27,000 is depreciating in value by $3,000 per year. Complete parts (a) through (c):a. Write a formula that models the car's value, $ y $, in dollars, after $ x $ years.b. Use the formula from part (a) to determine after how many years the car's value will be $15,000.c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph.---**Solution:****a. Formula Development:**A formula that models the car's value, $ y $, in dollars, after $ x $ years is:\[ y = 27000 - 3000x \]**b. Determining Time for Given Value:**To find after how many years the car's value will be $15,000, we set up the equation:\[15000 = 27000 - 3000x\]Solving for $ x $:\[15000 = 27000 - 3000x \\3000x = 27000 - 15000 \\3000x = 12000 \\x = \frac{12000}{3000} \\x = 4\]So, after 4 years, the car's value will be $15,000.**c. Choosing the Correct Graph:**Below are the graphs representing the model:- **Graph A** shows a linear decrease from $27,000 to $0 over 9 years.- **Graph B** shows a linear decrease from $27,000 to $0 over 10 years.- **Graph C** and **Graph D** seem not relevant for linear depreciation of car value as they do not have meaningful x-axis or y-axis labels corresponding to the car's value depreciation scenario.The correct graph should be option **B**, which accurately represents the depreciation model $ y = 27000 - 3000x $.**Graph B**: This graph has the y-axis representing the car's value in dollars and the x-axis representing time in years. It shows a starting value of $27,000 when $ x = 0 $ and a linear decline to $0 over a span of

Given: Value of car is $27,000. Value of car is depreciating by $3000 per year. To find: a) Formula…

A new car worth $27,000 is depreciating in value by $3000 per year. Complete parts (a) through (c). a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be $15,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph. C a. A formula that models the car's value, y, in dollars, after x years is (Type an equation.) b. After years, the car's value will be $15,000. (Type a whole number.) c. Choose the correct graph below. O A. OB. OC. O D. Ay Ay Q Q 10 10+ Ay 27,000+ 10 M 27,000- 27000 Q 27000 hots

A new car worth $27,000 is depreciating in value by $3000 per year. Complete parts (a) through (c). a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be $15,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph. C a. A formula that models the car's value, y, in dollars, after x years is (Type an equation.) b. After years, the car's value will be $15,000. (Type a whole number.) c. Choose the correct graph below. O A. OB. OC. O D. Ay Ay Q Q 10 10+ Ay 27,000+ 10 M 27,000- 27000 Q 27000 hots

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Similar questions

A new car worth $22,000 is depreciating in value by $2000 per year. Complete parts (a) through (c) a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be $16,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system Then, show your solution to part (b) on the graph. a. A formula that models the car's value, y, in dollars, after x years is (Type an equation.) b. After years, the car's value will be $16,000. (Type a whole number.) c. Choose the correct graph below. OA. OB. Oc. OD. Ay 22,000 Ay 10+ 10- 22,000- 0+ 10 2200 2200 Click to select your answer(s). P Type here to search A 4) C PrtSc Insert Delete F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F1 F2 @ & Backspace
The second image is an example of a calculation performed.
Faysal is visiting a local amusement park and wants to know the distance between the log ride and the pirate ship. Use the diagram to determine the value of x.
Full steps please. I will rate asap.
Please help me answer question #76
Place at two decimal places. a=b= c= d= e=P90=
Please help. I need in 40 minutes
quick please. Step by step calculations