You are to choose from a cellphone company that offers two talk and text plans. The company charges a monthly service fee of $20 for either plan the customer chooses: Talk and Text Plan A charges five cents a minutes and twenty dollars for 250 texts. Talk and Text Plan B charges ten cents a minute (first 100 minutes free) and fifteen dollars for 200 texts. NOTE: Assume you are purchasing a basic phone, which is $0 with 2-year contract. You cannot purchase unlimited text messaging for this exercise. Use the methods we have been studying to determine which plan is better based on the number of text messages you send per month if you only have $75 to spend each month. Instructions: You will decide which project you want to do.

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Answer:

Step-by-step explanation:

determine which talk and text plan is better based on the number of text messages you send per month, we need to compare the total cost of each plan given a budget of $75 per month.

Let's analyze both plans:

Talk and Text Plan A:

Monthly service fee: $20

Cost per minute: $0.05

Cost for 250 texts: $20

Total cost = Monthly service fee + (Cost per minute * number of minutes) + Cost for texts

Total cost = $20 + ($0.05 * minutes) + $20

Talk and Text Plan B:

Monthly service fee: $20

First 100 minutes free, then $0.10 per minute

Cost for 200 texts: $15

Total cost = Monthly service fee + (Cost per minute * number of minutes after the first 100 minutes) + Cost for texts

Total cost = $20 + ($0.10 * (minutes - 100)) + $15

Given a budget of $75 per month, we need to determine the number of minutes we can afford under each plan, considering the cost of texts as well.

For Plan A:

20

+

(

0.05

×

minutes

)

+

20

75

20+(0.05×minutes)+20≤75

0.05

×

minutes

35

0.05×minutes≤35

minutes

35

0.05

minutes≤

0.05

35

minutes

700

minutes≤700

For Plan B:

20

+

(

0.10

×

(

minutes

100

)

)

+

15

75

20+(0.10×(minutes−100))+15≤75

0.10

×

(

minutes

100

)

40

0.10×(minutes−100)≤40

(

minutes

100

)

40

0.10

(minutes−100)≤

0.10

40

minutes

100

400

minutes−100≤400

minutes

500

minutes≤500

So, under Plan A, you can afford up to 700 minutes if you spend $75 per month, while under Plan B, you can afford up to 500 minutes.

Now, let's compare the number of texts included in each plan:

Plan A offers 250 texts for $20.

Plan B offers 200 texts for $15.

Since both plans offer fewer than 500 texts, the number of texts included does not affect the decision.

Based on the analysis, if you send a moderate number of text messages per month and want to maximize the number of minutes you can use within a $75 budget, Plan A would be the better choice, as it allows for more minutes (700 minutes) compared to Plan B (500 minutes).

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