1. Lesson Objective: Go over the Car Project calculations and format.
Date:
Car Project Notes
Lesson Objective: Go over the Car Project calculations and format.
CCSS: F.IF.4, A.SSE.3, A.CED.4, F.IF.8b
You will need: a graphing utility

2. Lesson 1: Find 3 Cars to Choose From
Options
BMW 440i $66,950
29 mpg
Audi A7 $83,925
Tesla Model S
$81,700
mpg N/A
1. Price 3 1 2
2. Fuel Economy
3. Style 4. 5. 6.
TOTAL

3. Lesson 1: Find 3 Cars to Choose From

4. Lesson 1: Find 3 Cars to Choose From

5. Lesson 2: Purchase Price, Down Payment and Loan Principal
For info on down payment and loan balance/ principal, see 3.1 in the book.
List Price: $83,925.00
Est. Reg. 5%: , Sales 8.75%: ,343.44
Purchase Price: $95,446.69
Less 20% Down Payment: ,092.94
Loan Principal: $76,353.75

6. Lesson 3: Find a Loan

7. Lesson 4: Determine Length of Loan
See section 3.4 in the book.
t = 𝐥𝐨𝐠 𝑴 𝑷 − 𝐥𝐨𝐠 𝑴 𝑷 − 𝒓 𝟏𝟐 𝟏𝟐𝐥𝐨𝐠 𝟏+ 𝒓 𝟏𝟐
Loan Principal: $76,353.75
Monthly Payment: $250
Interest Rates: 2.95%, 4.72%, 7.15%

8. Lesson 5: Monthly Payment
See section 3.2 in the book.
M = 𝑷 𝒓 𝟏𝟐 𝟏 + 𝒓 𝟏𝟐 𝟏𝟐𝒕 𝟏 + 𝒓 𝟏𝟐 𝟏𝟐𝒕 − 𝟏
M = 76, 𝟎𝟒𝟗𝟓 𝟏𝟐 𝟏 + .𝟎𝟒𝟗𝟓 𝟏𝟐 𝟏𝟐·𝟓 𝟏 + .𝟎𝟒𝟗𝟓 𝟏𝟐 𝟏𝟐·𝟓 − 𝟏 = $1,439.14
You also need to do the calculations for 3 years and 6 years. Find total interest for each one. Choose which term of loan you want to use.

9. Lesson 6: Expense Function
See section 4.5 in the book.
y = mx + b
m = annual loan payments
b = down payment
y = x

10. Lesson 7: Depreciation Functions
Straight-Line Depreciation: See section 4.5 in the book.
y = mx + b
m = slope = annual straight-line depreciation
b = purchase price
(0, ), (10, 0)
y = x

11. Lesson 7: Depreciation Functions
Exponential Depreciation: See section 4.6 in the book.
y = A(1 – r)x
y = (1 – .15)x

12. Lesson 8: Graph

13. Lesson 8: Graph

14. Lesson 8: Graph

15. Lesson 9: Point of Intersection
See sections 4.5 and 4.6 Notes.
Set your expense function equal to your straight-line depreciation function and solve for x. This should equal the x in the point of intersection between the expense function and the straight-line depreciation function. Plug in x into each function to find the value of y. The y values should be equal and should equal the point of intersection.

16. Lesson 9: Point of Intersection
See sections 4.5 and 4.6 Notes.
Plug in the x value of the point of intersection between the expense function and the exponential depreciation function into EACH function and solve for y. The y values should be equal and should equal the point of intersection.

17. Lesson 10: Interpret the Graph
See sections 4.5 and 4.6 Notes and in the book.

18. Lesson 11: How Long?
See section 4.6 Example 6 CYU.
Straight-Line Depreciation:
y = x
¼ Value = (.25)( ) = = y
Plug in y and solve for x.

19. Lesson 11: How Long?
See section 4.6 Example 6 CYU.
Exponential Depreciation:
y = (1 – .15)x
¼ Value = (.25)( ) = = y
= (1 – .15)x
log = x log(1 – .15)
x =

20. Lesson 12: What Rate?
See section 4.6 Example 7 and CYU in the Notes and in the book. Use rational exponent 𝟏 𝟕 to get rid of the exponent and solve for r.

21. Lesson 13: What Value?
Find the value of y.
y = x
y = (1 – .15)x

22. Lesson 14: Vacation Time!
See section 4.7 Notes and in the book.
My destination point:
Winnepeg, Manitoba, Canada
Mileage (per Google Maps):
One Way =1,910.7 mi.; Round Trip = 3,821.4
Average Speed: 65 mph
MPG: 29 mpg

23. Lesson 15: Foreign Soil
See section 4.7 Notes and in the book. Use the conversion factor 1 km ≈ mi.
62 km
1000 km
580 km

24. Lesson 16: Foreign Souvenirs
Be sure to make a list of items you will need cash for on your trip. See section 4.7 Notes and in the book.
Spending Money Budget:
Food:
Souvenirs:
Entrance Fees:
____________:
Total: