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.

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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.
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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