9. The following graph represents the cost of two cell phone plans. Explain, in detail, the circumstances under which one plan is better value for the customer than the other plan.
The graph shows two cell phone plans with the cost per month on the y-axis and the number of months on the x-axis. Plan A has a constant cost of $60 per month, while Plan B starts at a lower cost of $40 per month but increases by $10 per month after six months.
To determine which plan is a better value for the customer, we need to consider the total cost of each plan over a certain period. If the customer plans to use the cell phone for only a few months, Plan B may be a better option as the cost starts lower. However, if the customer plans to use the cell phone for a longer period, the cost of Plan B will eventually exceed the cost of Plan A.
For example, if the customer plans to use the cell phone for six months, the total cost of Plan A would be $360 ($60 per month x 6 months), while the total cost of Plan B would be $280 ($40 per month x 6 months + $50 per month x 3 months). In this case, Plan B is a better option as it has a lower total cost for the given time period.
However, if the customer plans to use the cell phone for 12 months, the total cost of Plan A would still be $720 ($60 per month x 12 months), while the total cost of Plan B would be $460 ($40 per month x 6 months + $50 per month x 6 months). In this case, Plan A is a better option as it has a lower total cost for the given time period.
Therefore, the circumstances under which one plan is a better value for the customer than the other plan depend on the length of time the cell phone is being used. If the usage is for a shorter period, Plan B may be a better option. However, if the usage is for a longer period, Plan A is a better option as it has a constant cost per month, while Plan B increases after six months.