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Algebra Linear Equation Question β–ͺ You are moving and need a rental truck. The rental company you have chosen charges a $70/day fee plus $0.20 for every mile you travel. Write a linear equation that expresses the total cost y, where x represents the number of miles you travel. Graph this equation. Then choose a number of miles, x, you travel that day and find the total cost of renting the truck. Solution 1. Step 1: Defining variables Let, π‘‡π‘œπ‘‘π‘Žπ‘™ πΆπ‘œπ‘ π‘‘ = 𝑦 and π‘π‘œ. π‘œπ‘“ π‘šπ‘–π‘™π‘’π‘  = π‘₯ 2. Step 2: Write the linear equation π‘‡π‘œπ‘‘π‘Žπ‘™ π‘π‘œπ‘ π‘‘ = 𝐹𝑖π‘₯𝑒𝑑 π‘π‘œπ‘ π‘‘ + π‘£π‘Žπ‘Ÿπ‘–π‘Žπ‘π‘™π‘’ π‘π‘œπ‘ π‘‘ Here, fixed cost = daily rental cost = $70 Variable cost = cost which depends on number of miles I am going to travel = Per mile cost x No of miles = 𝟎. πŸπŸŽπ’™ Thus, total cost (π’š) = 𝟎. πŸπŸŽπ’™ + πŸ•πŸŽ Solution 3. Step 3 We can see that π’š = 𝟎. πŸπŸŽπ’™ + πŸ•πŸŽ is a straight line, we need to find two points and connect them to draw the graph 4. Step 4 I will use 𝒙 = 𝟎 and πŸ“πŸŽπŸŽ miles to draw the graph. 5. Step 5 Compute the two values of 𝑦 π‘€β„Žπ‘’π‘› 𝒙 = 𝟎, 𝑖𝑛 π’š = 𝟎. πŸπŸŽπ’™ + πŸ•πŸŽ = 𝟎. 𝟐𝟎 𝟎 + πŸ•πŸŽ π’š = $πŸ•πŸŽ π‘€β„Žπ‘’π‘› 𝒙 = πŸ“πŸŽπŸŽ, 𝑖𝑛 π’š = 𝟎. 𝟐𝟎 πŸ“πŸŽπŸŽ + πŸ•πŸŽ = 𝟏𝟎𝟎 + πŸ•πŸŽ π’š = $πŸπŸ•πŸŽ Graph π’š=𝟎.𝟐? ...
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