Columbia Southern Unit III Linear Nutrients College Algebra Questions

Please see the attached file for the assignment. All of the requirements and steps that must be taken are listed.

Unit III Assignment: Linear Nutrients
In this assignment, you will be asked to find a linear equation based on the nutritional information of food
served at a restaurant. You will analyze the equation as it relates to the variables and transformations
presented in the activity.
Instructions: Complete the steps outlined below, and answer parts A-G. Save all of your work to this
template and submit it in Blackboard for grading.
STEP 1: Follow the directions below to create your data set, or click here to watch a video on how to
create your data set. Click here for the transcript of this video.
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Go to http://menustat.org/#/home.
Select one food category, one restaurant, and the most recent year from the drop-down
menus on the screen. Make sure that the restaurant you selected has menu items in the food
category you selected.
In the “Nutrients” menu, select “Calories” and “Total Fat.”
Press “Search.”
Select four items from the chart. If you do not have at least four items in your chart, select a
different restaurant or food category and create a new chart.
A. Use the four items you selected above to complete the chart.
Menu Item
Total Fat
(𝒙 – 𝒗𝒂𝒓𝒊𝒂𝒃𝒍𝒆)
Calories
(𝒚 − 𝒗𝒂𝒓𝒊𝒂𝒃𝒍𝒆)
(Total Fat, Calories)
(𝒙, 𝒚)
Spinach & Artichoke Dip
Housemade Guacamole & Chips
Hot & Spicy Buffalo Chicken Wings
Chicken Pot Stickers
54
30
30
11
1050
780
820
420
(54,1050)
(30,780)
(30,820)
(11,420)
B.
Based on the ordered pairs you selected, is the relation a function? Why or why not?
STEP 2: Identify the two outer most points. List the corresponding ordered pairs below:
o Point One – What ordered pair has the smallest x-value? (𝑥1 , 𝑦1 ) = ( , )
o Point Two – What ordered pair has the largest x-value? (𝑥2 , 𝑦2 ) = ( , )
C.
Calculate the slope between the two outer most points. Round your answer to four decimal places.
Show each step of your work. A template is listed below to assist you. Replace the “?” with the
appropriate numbers.
𝑚=
𝑦2 − 𝑦1
𝑥2 − 𝑥1
𝑚=
? −?
? −?
𝑚=
?
?
𝑚 =?
D. What is the linear equation in slope-intercept form (𝑦 = 𝑚𝑥 + 𝑏)?
Round your value for 𝑚 and 𝑏 to four decimal places. HINT: Use the point-slope formula (listed
below) and only one point identified in step 2 to find the slope-intercept form of the equation.
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
E.
Indicate whether the line in Part D rises, falls, is horizontal, or is vertical.
a.
b.
c.
d.
The line rises from left to right.
The line falls from left to right.
The line is horizontal.
The line is vertical.
The correct answer is choice _____.
F.
Based on your answer for Part E, describe the relationship between Total Fat (x) and Calories (y). In
other words, when total fat increases, what happens to the calories?
G. Assume that the graph of your equation is reflected about the y-axis. How do your x-coordinates and
y-coordinates change? Does this change make sense in relation to total fat and calories? Why or why
not?