Question

Bridget Creel is getting ready to open a small restaurant. She is on a tight budget and must choose between the following long-distance phone plans Plan A: Pay 9 cents per minute of long-distance calling. Plan B: Pay a fixed monthly fee of $15 for up to 300 long-distance minutes and 7 cents per minute thereafter (if she uses fewer than 300 minutes in any month, she still pays $15 for the month). Plan C Pay a fixed monthly fee of $24 for up to 440 long-distance minutes and 6 cents per minute thereafter (if she uses fewer than 440 minutes, she still pays $24 for the month). Read the requirements. Requirement 1. Match the graphs to the total monthly costs of the three plans for different levels of monthly long-distance calling Before we match the graphs to the plans, complete the following table, calculating the total costs for each plan at each of the different minute levels. (Round to the nearest cent.) Plan 100 minutes 300 minutes 500 minutes

Answer 1

The student's question involves calculating the total monthly costs of three different long-distance phone plans at usage levels of 100, 300, and 500 minutes. Plan A charges per minute, while Plans B and C include fixed monthly fees with additional charges for minutes exceeding their respective caps. The analysis shows the cost-effectiveness of each plan varies depending on the usage level.

Step-by-step explanation:

The student's question is asking to compare long-distance phone plans based on the cost for 100, 300, and 500 minutes of usage.

For Plan A, the cost will be 9 cents per minute. Therefore, the costs at different minute levels are:

• 100 minutes: $9.00 (100 minutes * $0.09 per minute)
• 300 minutes: $27.00 (300 minutes * $0.09 per minute)
• 500 minutes: $45.00 (500 minutes * $0.09 per minute)

For Plan B, there is a flat fee of $15 for up to 300 minutes, and 7 cents per minute thereafter. The costs would be:

• 100 minutes: $15.00 (fixed monthly fee)
• 300 minutes: $15.00 (fixed monthly fee)
• 500 minutes: $29.00 ($15 flat fee + 200 minutes overage * $0.07 per minute)

Finally, for Plan C, there's a $24 monthly fee for up to 440 minutes, plus 6 cents per minute thereafter. The costs would be:

• 100 minutes: $24.00 (fixed monthly fee)
• 300 minutes: $24.00 (fixed monthly fee)
• 500 minutes: $27.60 ($24 flat fee + 60 minutes overage * $0.06 per minute)

Comparing these costs, it seems that Plan A is best for low usage (100 minutes), Plan B is cost-effective for moderate usage (300 minutes), and Plan C tends to be more reasonable for higher usage levels (500 minutes).

Answer 2

attached graphs as answer to first question.

at 100 minutes

9 dollars // 15 dollars // 24 dollars

at 300 minutes

27 dollars // 15 dollars //24 dollars

at 500 minutes

45 dollars // 29 dollars // 27.6 dollars

Step-by-step explanation:

Plan A is a complete variable plan so no use means a bill of zero dollar. from there, the cost increase by 9 cents per minute

Plan B flat $15 for 300 minutes and increase for 7 cent threafter so we have a line parallel o X-axis up to 300 minutes.

Plan C flat 24 dollars and then 6 cents per minute

Cost at given ranges:

at 100 minutes:

100 x 9 cents = 9 dollars

the other will pay the flat fee

at 300 minutes

300 x 9 cents = 27

the other will pay the flat fee

at 500 minutes

500 x 9 cents = 45

$15 + 200 x 7 cents = 29

$24 + 60 x 6 cents = 27.6