Question 1170217: Your friend wants to send you books. The shipping fee via US Priority Mail includes a $10 insurance fee and $2 per book. Write an equation in slope-intercept form that represents this situation. (Hint: Identify Slope and the "b" value"). Also, write what the x and y variables represent. *
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Let's break down this problem step by step:
**1. Identify Variables**
* **x:** The number of books your friend sends.
* **y:** The total shipping fee (in dollars).
**2. Identify the Slope**
* The slope represents the rate of change of the shipping fee per book.
* In this case, the shipping fee increases by $2 for each book.
* Therefore, the slope (m) is 2.
**3. Identify the y-intercept (b)**
* The y-intercept represents the shipping fee when no books are sent (x = 0).
* Even if no books are sent, there's a $10 insurance fee.
* Therefore, the y-intercept (b) is 10.
**4. Write the Equation in Slope-Intercept Form**
* The slope-intercept form of a linear equation is y = mx + b.
* Substitute the values we found for m and b:
* y = 2x + 10
**Summary**
* **Equation:** y = 2x + 10
* **x:** Number of books
* **y:** Total shipping fee (in dollars)
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