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Use what you learned to solve these problems. (6) Jacy's mom teaches cross-stitch classes. The cost of a student's cross-stitch project is a function of the number of skeins of embroidery floss it requires. The table shows the cost of some projects that students can choose. What is the equation of the linear function that models this situation? Show your work.

Ask by Nichols Wagner. in the United States
Mar 11,2025

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The cost of a student's cross-stitch project is \( y = 5x \), where \( x \) is the number of skeins of embroidery floss.

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The Deep Dive

To find the equation of the linear function that models the cost of the projects based on the number of skeins of embroidery floss, we first look for two points from the table. Let's say you have the points (x1, y1) and (x2, y2) from the data provided. Use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Once you find the slope (m), pick one point to use with the point-slope form of the line: \[ y - y_1 = m(x - x_1) \] From this, you can convert it to the slope-intercept form (y = mx + b) to find your final equation! Keep in mind that the cost usually involves a fixed base and a variable cost depending on the skeins of floss, so your equation might look something like \( \text{Cost} = mx + b \), where \( m \) is the price per skein and \( b \) could be any starting fees! Now get cracking on those calculations!

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