The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 210 minutes, the monthly cost will be $86. If the customer uses 600 minutes, the monthly cost will be $203. A) Find an equation in the form y=mx+b, where is the number of monthly minutes used and y is the total monthly of the NextFell plan. Answer: y = B) Use your equation to find the total monthly cost if 793 minutes are used. Answer: If 793 minutes are used, the total cost will be 4 dollars.
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 210 minutes, the monthly cost will be $86. If the customer uses 600 minutes, the monthly cost will be $203. A) Find an equation in the form y=mx+b, where is the number of monthly minutes used and y is the total monthly of the NextFell plan. Answer: y = B) Use your equation to find the total monthly cost if 793 minutes are used. Answer: If 793 minutes are used, the total cost will be 4 dollars.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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![### Monthly Cellular Plan Cost Calculation
**Problem Description:**
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 210 minutes, the monthly cost will be $86. If the customer uses 600 minutes, the monthly cost will be $203.
**Task:**
A) Find an equation in the form \( y = mx + b \), where \( x \) is the number of monthly minutes used and \( y \) is the total monthly cost of the NextFell plan.
**Answer:**
\[ y = \]
B) Use your equation to find the total monthly cost if 793 minutes are used.
**Answer:**
If 793 minutes are used, the total cost will be \( \) dollars.
**Instructions for Solution:**
1. Identify the two points provided for minutes and cost:
- Point 1: (210, 86)
- Point 2: (600, 203)
2. Use these points to calculate the slope (\( m \)) of the linear equation:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{203 - 86}{600 - 210} \]
3. With the slope (\( m \)) known, use one of the points to solve for the y-intercept (\( b \)) in the equation \( y = mx + b \).
4. Once the equation \( y = mx + b \) is determined, substitute \( x = 793 \) to find the total monthly cost.
**Interactive Exercise:**
Input your final equation and calculate the cost for 793 minutes used. Click "Submit Question" when done.
---
Submit your calculated values in the corresponding answer boxes provided and verify your understanding of linear equations and their application in real-world scenarios such as cellular plan cost calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4299bab-cfe6-4df1-82fa-bdefd18a2ba9%2F00717df9-8e3c-444d-9f6f-f85577edc5d9%2Ffso2m4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Monthly Cellular Plan Cost Calculation
**Problem Description:**
The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 210 minutes, the monthly cost will be $86. If the customer uses 600 minutes, the monthly cost will be $203.
**Task:**
A) Find an equation in the form \( y = mx + b \), where \( x \) is the number of monthly minutes used and \( y \) is the total monthly cost of the NextFell plan.
**Answer:**
\[ y = \]
B) Use your equation to find the total monthly cost if 793 minutes are used.
**Answer:**
If 793 minutes are used, the total cost will be \( \) dollars.
**Instructions for Solution:**
1. Identify the two points provided for minutes and cost:
- Point 1: (210, 86)
- Point 2: (600, 203)
2. Use these points to calculate the slope (\( m \)) of the linear equation:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{203 - 86}{600 - 210} \]
3. With the slope (\( m \)) known, use one of the points to solve for the y-intercept (\( b \)) in the equation \( y = mx + b \).
4. Once the equation \( y = mx + b \) is determined, substitute \( x = 793 \) to find the total monthly cost.
**Interactive Exercise:**
Input your final equation and calculate the cost for 793 minutes used. Click "Submit Question" when done.
---
Submit your calculated values in the corresponding answer boxes provided and verify your understanding of linear equations and their application in real-world scenarios such as cellular plan cost calculations.
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