Parametric Equations
Scholar Information
Scholar Information (continued)
Project Abstract
For this task, you will represent hiking itineraries with parametric equations and use these equations to make predictions.
Background Data
Parametric equations are a set of capabilities outlined by way of a parameter. A parametric equation comprises a horizontal and a vertical element which can be each outlined by way of the parameter. The parameter may be eradicated to create an oblong equation.
Project Directions
For this mission, you are anticipated to submit the task.
Step 1: Put together for the efficiency job.
a) Learn via the information earlier than you start so you know the expectations for this task.
b) If there’s something that isn’t clear to you, you’ll want to ask your instructor.
c) In case your word-processing program has an equation editor, you can insert your equations right here. In any other case, print this exercise sheet and write your solutions by hand.
Step 2: Full Elements 1 and a pair of within the Project part of this doc.
a) Learn all instructions fastidiously.
b) Full every job.
c) Insert photos or screenshots of graphs when wanted. Ensure that all graphs or screenshots embody acceptable info equivalent to titles, labeled axes, and so on.
d) You’ll want to present all of your work. You will be given partial credit score primarily based on the work you present and the completeness and accuracy of your explanations.
e) Take into account underlining and circling essential elements within the issues.
Step three: Consider your mission utilizing this guidelines.
If you can examine every field beneath, you are able to submit your mission.
· Have you answered all questions in Half 1 and Half 2?
· Have you proven your work?
· Did you embody a picture or screenshot of a graph when requested?
· Are all of your equations right? You’ll want to examine your formatting fastidiously.
Step four: Revise and submit your mission.
a) If you have been unable to examine off the entire necessities on the guidelines, return and ensure that your mission is full. Save your mission earlier than submitting it.
b) Your instructor will give you additional instructions about methods to submit your work. It’s possible you’ll be requested to submit your responses via the digital classroom, electronic mail it to your instructor, or print it and hand in a tough copy.
c) Congratulations! You might have accomplished your mission.
Project
Half 1: Write parametric equations to represent a mountain hiking path.
The desk reveals the estimated distances and elevation modifications between a base camp and varied areas alongside a well-liked mountain path. The space traveled alongside the path is represented by x, the elevation is represented by y, and the time from the bottom camp to every location is represented by t.
Location
Distance from Base Camp
Elevation
Journey Time from Base Camp
Base Camp
zero miles
6,990 toes
zero hours
Camp I
four miles
eight,290 toes
10 hours
Camp II
eight.four miles
10,875 toes
21 hours
Camp III
11.four miles
13,331 toes
28.5 hours
Camp IV
14.eight miles
16,795 toes
37 hours
Summit
17.2 miles
19,675 toes
43 hours
1. Use the information factors in regards to the distance and elevations of the camps to graph the information factors the place the x-coordinate is the whole distance traveled from the bottom camp and the y-coordinate is the elevation. Use the grid beneath or embody a screenshot of the information plotted from a calculator. (5 factors)
2. Describe the curve within the graph by finishing the steps.
a) Discover a affordable interval for the values of and clarify its significance. (10 factors)
b) Write a linear perform, x(t), for the whole distance in miles hiked by way of complete time hiking in hours utilizing the information from the desk. (5 factors)
c) Write a quadratic perform, y(t), for elevation by way of the whole time hiking in hours utilizing the information within the desk. Discover a system of three equations and three unknowns to jot down the equation. (10 factors)
Half 2: Write and use the oblong type of the parametric equations.
1. Utilizing the equations from Half 1, eradicate the parameter, and write the oblong type of the equation. (10 factors)
2. Use the oblong equation to point out the elevation group can anticipate to achieve after hiking eight miles. Then decide the time it will take the group to get to that time on the mountain. (6 factors)
three. Use the oblong equation to point out roughly how far a gaggle can anticipate to hike earlier than reaching an elevation of 12,000 toes. (four factors)
Copyright © Edgenuity Inc.
Copyright © Edgenuity Inc.
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Equations with Parameters
Information for College students
Information for College students (continued)
Abstract of the Activity
For this mission, you will use parametric equations to mannequin hiking itineraries and apply these equations to supply predictions.
Data on the Background
Parametric equations are a set of capabilities outlined by way of a parameter. A parametric equation comprises a horizontal and a vertical element which can be each outlined by way of the parameter. The parameter may be eradicated to create an oblong equation.
Project Directions
For this mission, you are anticipated to submit the task.
Step 1: Put together for the efficiency job.
a) Learn via the information earlier than you start so you know the expectations for this task.
b) If there’s something that isn’t clear to you, you’ll want to ask your instructor.
c) If
