Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Your friend needs your help. His parents have told him that it is time for him to start paying for his own cell phone. After completing some research on the internet, you have narrowed down his options. Option 1 charges $0.30 for each cell phone call and $25 for unlimited text messaging. Option 2 charges a flat rate of $40.

Which plan is the best option?​

Sagot :

Answer:

For less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.

Step-by-step explanation:

Option 1:

For n calls, the cost is given by:

[tex]C_{1}(n) = 25 + 0.3n[/tex]

Option 2:

The cost is flat of 40, so [tex]C_{2}(n) = 40[/tex]

Which plan is the best option?​

Depends on the number of calls, as for a high number, [tex]C_1[/tex] will be higher than [tex]C_2[/tex]. We have to find this number. So

[tex]C_{1}(n) > C_{2}(n)[/tex]

[tex]25 + 0.3n > 40[/tex]

[tex]0.3n > 15[/tex]

[tex]n > \frac{15}{0.3}[/tex]

[tex]n > 50[/tex]

This means that for less than 50 calls, option 1 is the best, while for more than 50 calls, option 2 is the best.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.