Final answer:
The relationship between months and the cost of leasing a car can be represented by a linear graph.
Step-by-step explanation:
The graph that shows the relationship between months and the cost of leasing the car would be a linear graph. The initial down payment of $1,000 can be considered as a fixed cost. The monthly payment of $200 can be considered as a constant rate of increase. Therefore, the cost of leasing the car would increase by $200 per month.
Using this information, we can plot the graph with months on the x-axis and the cost of leasing on the y-axis. The graph would start at ($0, $1,000) and increase by $200 for each month. So, each point on the graph would be ($n, 1000 + 200n) where n represents the number of months.
For example, after 1 month, the cost of leasing would be $1,200 ($1,000 + $200). After 2 months, the cost of leasing would be $1,400 ($1,000 + $200 + $200). And so on.