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    Real-life application of a linear function

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    Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the nearest 10th of a centimeter) or inches (to the nearest quarter of an inch). Compute the volume of your solid and include units with your answer. Include the type of object, the measurements, and show how you obtained the volume.

    Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a linear function. State the application, give the equation of the linear function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as x and W depicted in the following example. Be sure to reference all sources using APA style.

    The number of women, W, in millions, enrolled in colleges x years after 1984 can be approximated by W = 0.01x + 3.9. (Blitzer, 2007). When x = 16, W = 0.01(16) + 3.9 = 4.06. This implies that in the year 2000 (16 years from 1984) there were approximately 4.06 million women enrolled in colleges. When x = 20, W = 0.01(20) + 3.9 = 4.1. This implies that in the year 2004 (20 years from 1984) there were approximately 4.1 million women enrolled in colleges.

    Reference

    Blitzer, R. (2007). College algebra: A custom edition. Boston, MA: Pearson Custom Publishing.

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    Solution Preview

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    Part 1: What is the formula for the volume of a rectangular solid? Find an object in your residence that has the shape of a rectangular solid. Measure and record the length, width, and height of your object in either centimeters (to the nearest 10th of a centimeter) or inches (to the nearest quarter of an inch). Compute the volume of your solid and include units with your answer. Include the type of object, the measurements, and show how you obtained the volume.

    Volume = Length * Width * Height
    Object: A wooden box

    Length = 7.5 inches
    Width = 3.0 ...

    Solution Summary

    I have provided a real life application of a linear function and shown how to obtain various quantities using this equation. I also have found the volume of a rectangular solid found in my residence.

    $2.49

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