felder1trevion
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Instructions: Answer the following questions about the situation.

A cell phone company is offering its customers the following deal: You can buy a new cell phone for [tex] \[tex]$60 [/tex] and pay a monthly flat rate of [tex] \$[/tex]40 [/tex] per month for unlimited calls. The function [tex] y = 40x + 60 [/tex] represents the total cost per month.

1. How much money will this deal cost you after 9 months?

2. How much would it cost for 0 months?

3. This represents the [tex]$\square$[/tex] of the function.

Sagot :

GinnyAnswer
Sure, let's solve these questions step by step.

### Part 1: Calculating the Total Cost After 9 Months

The function for the total cost [tex]\( y \)[/tex] in dollars per month is given by:

[tex]\[ y = 40x + 60 \][/tex]

Where:
- [tex]\( x \)[/tex] represents the number of months you use the service.

We are asked to calculate the cost after 9 months. So, we'll substitute [tex]\( x = 9 \)[/tex] into the function:

[tex]\[ y = 40(9) + 60 \][/tex]

First, we multiply 40 by 9:

[tex]\[ 40 \times 9 = 360 \][/tex]

Next, we add 60 to 360:

[tex]\[ 360 + 60 = 420 \][/tex]

So, the total cost after 9 months is [tex]\( \$420 \)[/tex].

### Part 2: Calculating the Total Cost for 0 Months

Now, we need to find out the cost for 0 months. Substitute [tex]\( x = 0 \)[/tex] into the function:

[tex]\[ y = 40(0) + 60 \][/tex]

First, we multiply 40 by 0:

[tex]\[ 40 \times 0 = 0 \][/tex]

Next, we add 60 to 0:

[tex]\[ 0 + 60 = 60 \][/tex]

So, the total cost for 0 months is [tex]\( \$60 \)[/tex].

### Part 3: Interpreting [tex]\( y \)[/tex] for 0 Months

The cost for 0 months, which is [tex]\( \$60 \)[/tex], represents the initial purchase cost of the cell phone. This is also recognized as the y-intercept of the function [tex]\( y = 40x + 60 \)[/tex].

Therefore, the total cost after 9 months is [tex]\( \$420 \)[/tex] and the cost for 0 months is [tex]\( \$60 \)[/tex]. The cost for 0 months represents the initial purchase cost of the cell phone.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.