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Leona [35]
3 years ago
6

Carly wants to add texting to her cell phone plan. She has two choices in texting packages. The TURKEY plan charges $.15 per tex

t and a $20 monthly fee. The GOBBLE plan charges $.20 per text but has no monthly fee.
Part A

Write an equation that represents the total cost for each texting package, the TURKEY and the GOBBLE packages, if any amount of texts are sent. Be sure to define the variables you are using for your equation.



Define the Variables

Turkey Plan Equation

Gobble Plan Equation
Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0

Let x be the number of texts (amount of texts) Carly does in a month.

Let y be the "total" amount Carly will have to pay in a month.

Then, as per the TURKEY plan, Carly's monthly total cost will be represented by the equation as shown: y=0.15x+20

As we can clearly see in the above equation even if Carly does not text a single message (when x=0), even then they will have to pay $20 for that month.

For the GOBBLE plan, the equation will be: y=0.2x.

In this plan as there is no fixed charge, Carly wont have to pay anything extra if they dont make a call.


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\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
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-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}
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Something like {2,4,6,8} is ruled out because we're dealing with odd numbers only.

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