Question

You are considering buying two different vehicles. • The first is a van at $20,523, and an estimated annual operating cost of $3200. • The second is a fuel-efficient car at $23,540 and an estimated annual operating cost of $2450. Use these equations to represent the cost (y) of the cars over x years: Y = 20,523 + 3200 X Y = 23,540 + 2450 X

Answer 1

Fill in the following tables, using the equations.

Cost of owning and operating the vehicles

Vehicle 0 1 2 3 4 5 6

Van $20,523 $23,723 $26,923 $30,123 $33,323 $36,523 $39,723

Car $23,540 $25,990 $28,440 $30,890 $33,340 $35,790 $38,240

How much does each vehicle cost initially?

• Van costs $20,523
• Car costs $23,540

How much does each cost to operate for one year?

• Van costs $3.200
• Car costs $2,450

Which one initially costs less?

• Van

Which one will cost less over the six years?

• Car

When do they cost about the same?

• year 4: van accumulated costs $33,323 and car accumulated costs = $33,340