My friend just purchased the new iPhone 7 and needs to choose a phone carrier. There are two plans to choose from, Verizon and AT&T. I had to figure out which plan would be better, (cheaper), to recommend to my friend. AT&T offered a plan with a $.20 per text charge and a $15 initiation fee, while Verizon offered a plan with a $.10 per text message fee and a $70 initiation fee. I found, by comparing the two plans algebraically, that AT&T would be better if my friend is planning on sending less than 550 texts per month, and Verizon would be better if they are planning on sending more than 550 texts.
My plan was to create two equations, one for each payment plan. Then I used the substitution method to find the point of intersection which showed where both plans would cost my friend the same. Lastly, I used the graphing method to determine which plan was better depending on the number of texts sent.
To create my two equations, I used the combination of costs given by each company. The two equations that I derived from the problem were:
Verizon: y =.10x + 70
AT&T: y =.20x + 15 x: Number of texts per month y: Total monthly cost of service
Then I used the …show more content…
I then graphed the system of equations to determine which plan would be better based on how many texts my friend is going to send.
In order to provide my friend with the optimal plan I would need to know, of course, how many texts she generally makes in a month. I can, however, provide her with guidelines based on the findings above. Due to the lower activation fee, AT&T is cheaper provided my friend does not text more than 550 times a month. Also, since each Verizon text is cheaper by 10 cents, if my friend texts over 550 messages a month, then Verizon is the plan to choose. In this problem I learned how important it is to use information to make a smart decision concerning my
My plan was to create two equations, one for each payment plan. Then I used the substitution method to find the point of intersection which showed where both plans would cost my friend the same. Lastly, I used the graphing method to determine which plan was better depending on the number of texts sent.
To create my two equations, I used the combination of costs given by each company. The two equations that I derived from the problem were:
Verizon: y =.10x + 70
AT&T: y =.20x + 15 x: Number of texts per month y: Total monthly cost of service
Then I used the …show more content…
I then graphed the system of equations to determine which plan would be better based on how many texts my friend is going to send.
In order to provide my friend with the optimal plan I would need to know, of course, how many texts she generally makes in a month. I can, however, provide her with guidelines based on the findings above. Due to the lower activation fee, AT&T is cheaper provided my friend does not text more than 550 times a month. Also, since each Verizon text is cheaper by 10 cents, if my friend texts over 550 messages a month, then Verizon is the plan to choose. In this problem I learned how important it is to use information to make a smart decision concerning my