document.write( "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. * \n" ); document.write( "
Algebra.Com's Answer #851240 by CPhill(1959)![]() ![]() You can put this solution on YOUR website! Let's break down this problem step by step:\r \n" ); document.write( "\n" ); document.write( "**1. Identify Variables**\r \n" ); document.write( "\n" ); document.write( "* **x:** The number of books your friend sends. \n" ); document.write( "* **y:** The total shipping fee (in dollars).\r \n" ); document.write( "\n" ); document.write( "**2. Identify the Slope**\r \n" ); document.write( "\n" ); document.write( "* The slope represents the rate of change of the shipping fee per book. \n" ); document.write( "* In this case, the shipping fee increases by $2 for each book. \n" ); document.write( "* Therefore, the slope (m) is 2.\r \n" ); document.write( "\n" ); document.write( "**3. Identify the y-intercept (b)**\r \n" ); document.write( "\n" ); document.write( "* The y-intercept represents the shipping fee when no books are sent (x = 0). \n" ); document.write( "* Even if no books are sent, there's a $10 insurance fee. \n" ); document.write( "* Therefore, the y-intercept (b) is 10.\r \n" ); document.write( "\n" ); document.write( "**4. Write the Equation in Slope-Intercept Form**\r \n" ); document.write( "\n" ); document.write( "* The slope-intercept form of a linear equation is y = mx + b. \n" ); document.write( "* Substitute the values we found for m and b: \n" ); document.write( " * y = 2x + 10\r \n" ); document.write( "\n" ); document.write( "**Summary**\r \n" ); document.write( "\n" ); document.write( "* **Equation:** y = 2x + 10 \n" ); document.write( "* **x:** Number of books \n" ); document.write( "* **y:** Total shipping fee (in dollars) \n" ); document.write( " \n" ); document.write( " |