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Question

Dani's estimate for the cost of tiling her bathroom floor is $50 plus $3 per square foot. Write a linear equation showing the total cost. Include in Your Answer: The linear equation written in y=mx + b format. 1 to 2 sentences explaining how you determine the correct linear equation.

Answer

The equation that represents the total cost of tiling Dani's bathroom floor is y = 3x + 50. In this equation, y represents the total cost, x represents the number of square feet, m represents the cost per square foot ($3), and b represents the fixed cost ($50). The equation is in the form of "y = mx + b". Step-by-step explanation: To determine the linear equation for the total cost of tiling Dani's bathroom floor, we need to use the given information about the cost per square foot and the fixed cost. Here are the steps: Step 1: Identify the variables We have two variables in this problem: the total cost (y) and the number of square feet (x). Step 2: Find the slope The slope represents the cost per square foot. According to the problem, the cost per square foot is $3. Therefore, the slope (m) is 3. Step 3: Find the y-intercept The y-intercept represents the fixed cost. According to the problem, the fixed cost is $50. Therefore, the y-intercept (b) is 50. Step 4: Write the equation Now that we have the slope and the y-intercept, we can write the equation in the form of "y = mx + b". Substitute the values we have found into the equation: y = 3x + 50 This is the linear equation that represents the total cost of tiling Dani's bathroom floor.