y= total cost
x= # of text messages
a) Determine the cost of each plan if you send 500 text messages in one month. Show your working out.
PLAN A
y=29.95+0.1x
Plan A's cost would be $79.95 if we send 500 text messages per month.
PLAN B
y= 90.20
Since Plan B gives unlimited text messages, the cost would be $90.20 per month even for 500 text messages.
PLAN C
y=49.95+ 0.5x
y= 49.95+0.05(500)
y= 49.95+ 25
y= 74.95
Plan C's total cost would be $74.95 if we send 500 text messages per month.
b) Your boss asks you to visually display three plans and compare them so you can point out the advantages of each plan to your customers
Plan A would be beneficial and practical for those who know they rarely text message. That way the basic fee plus only a few text messages could turn out a cheaper deal in a certain situation. (Plan A is the red line)
For Plan B, an advantage is that it allows unlimited text messages, so for those who text a lot, Plan B would be a good deal. (Plan B is the blue line)
For Plan C, an advantage is that the basic fee of $49.95 is just an additional $20 (less than half the amount), and the charge of cents per text message is half the amount. On the graph, plan C is the green line, and we can see that we can text more messages than Plan A for the same price.
c) A customer wants to know how to decide which plan would save her the most money. Determine which plan has the lowest cost given the number of text messages a customer is likely to send.
PLAN A
y=29.95+0.10x
Since the average number of text messages sent by adults in their early twenties are 2,000, the cost for sending 2,000 text messages is $229.95.
PLAN B
y= 90.20
The cost for 2,000 text messages still remains $90.20 because Plan B allows unlimited text messages.
PLAN C
y=49.95+ 0.05x
y= 49.95+0.05(2000)
y= 49.95+ 100
y= 149.95
The cost for sending 2,000 text messages is $149.95 with Plan C.
Plan B has the lowest cost, charging only a basic fee of $90.20 and no additional charge per text message.
x= # of text messages
a) Determine the cost of each plan if you send 500 text messages in one month. Show your working out.
PLAN A
y=29.95+0.1x
y= 29.95+0.1(500)
y= 29.95+50
y=79.95 Plan A's cost would be $79.95 if we send 500 text messages per month.
PLAN B
y= 90.20
Since Plan B gives unlimited text messages, the cost would be $90.20 per month even for 500 text messages.
PLAN C
y=49.95+ 0.5x
y= 49.95+0.05(500)
y= 49.95+ 25
y= 74.95
Plan C's total cost would be $74.95 if we send 500 text messages per month.
b) Your boss asks you to visually display three plans and compare them so you can point out the advantages of each plan to your customers
Plan A would be beneficial and practical for those who know they rarely text message. That way the basic fee plus only a few text messages could turn out a cheaper deal in a certain situation. (Plan A is the red line)
For Plan B, an advantage is that it allows unlimited text messages, so for those who text a lot, Plan B would be a good deal. (Plan B is the blue line)
For Plan C, an advantage is that the basic fee of $49.95 is just an additional $20 (less than half the amount), and the charge of cents per text message is half the amount. On the graph, plan C is the green line, and we can see that we can text more messages than Plan A for the same price.
c) A customer wants to know how to decide which plan would save her the most money. Determine which plan has the lowest cost given the number of text messages a customer is likely to send.
PLAN A
y=29.95+0.10x
y= 29.95+0.10(2000)
y= 29.95+200
y= 229.95Since the average number of text messages sent by adults in their early twenties are 2,000, the cost for sending 2,000 text messages is $229.95.
PLAN B
y= 90.20
The cost for 2,000 text messages still remains $90.20 because Plan B allows unlimited text messages.
PLAN C
y=49.95+ 0.05x
y= 49.95+0.05(2000)
y= 49.95+ 100
y= 149.95
The cost for sending 2,000 text messages is $149.95 with Plan C.
Plan B has the lowest cost, charging only a basic fee of $90.20 and no additional charge per text message.
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