1. Let’s Buy a Car Presented by: Eidak & Annodar

2. Annodar’s Data Collected 1. Year: 2015 2. Make: Mazda 3. Model: Mazda 3 i Sport Sedan 4. Purchase Price: $18,445 5. Kelley Blue Book: $20,501 6. Annual Fuel Cost: $1,703 7. Annual Insurance Cost: $1,105 8. Annual Operating Cost (fuel plus ins.): $2,808 Write an equation for TOTAL OPERATING COST: B: y-intercept: purchase price M: slope: total annual operating cost Y: total cost of ownership X: total number of years you own the car Y=2,808x+18,445

3. Eidak’s Data Collected 1. Year: 2015 2. Make: Nissan 3. Model: Murano 4. Purchase Price: $29,560 5. Kelley Blue Book: $34,638 6. Annual Fuel Cost: $1,737.40 7. Annual Insurance Cost: $5,880 8. Annual Operating Cost (fuel plus ins.): $7,617.40 Write an equation for TOTAL OPERATING COST: B: y-intercept: purchase price M: slope: total annual operating cost Y: total cost of ownership X: total number of years you own the car Y= 7,617.40x+29,560

4. Annodar’s Picture

5. Eidak’s Picture

6. Annodar & Eidak Graph

7. The Conclusions 1. If the lines in your graph intersect on the graph, estimate the point at which they intersect. If your lines do not intersect on your graph, in which quadrant do you think they will intersect? We believe that they will intersect at quadrant 1. 2. Use an algebraic method (substitution or combination) to solve the system of equations for your choices. During which year do both vehicles have the same total cost of ownership? Round answers to the nearest hundredth. There’s no year that the car will be the same cost. 3. What does the ordered pair (x,y) represent? The x represents the cost and y represents the years. 4. Which vehicle would you purchase? WHY? (Use mathematical language.) The car that would be purchase would be Annodar’s car because her car is so much cheaper then Eidak’s car.