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Mathematics, 10.09.2021 03:40 iicekingmann

YOUR ASSIGNMENT: Earth Traveler: Outward or Inward Bound In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
1. Which option did you choose? Discuss with another student why you made the choice you made. (1 point)

Troposphere (above the surface)Upper Crust (below the surface)

Writing an Equation
2. Define the variables you will use in your equation. (1 point)
Let one variable be the distance away from the surface and the other variable be the temperature.
Distance away from the surface = D
Temperature = T
The y-intercept is the starting position at Earth's surface. The coordinates of the y-intercept are (0, temperature at Earth's surface).
3. What is the b-value of the y-intercept for your equation? (1 point)
We know that the equation of the line in slope intercept form is y = mx + b
m= Slope b= y coordinate of the y intercept
So the y intercept is (0 , 3) given in the problem
X coordinate of Y intercept is 0 Y coordinate of Y intercept is 3
Therefore b-value of the y-intercept for the equation is b = 3

The slope is the rate of change for temperature.
If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive.
If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative.
4. What is the slope of your equation? (1 point)
M=6.5

5. Write an equation that models the relationship between your variables. (1 point)

Interpreting the Equation
6. Identify and explain what each term represents in the temperature model.
a) The slope (1 point)

b) The y-intercept (1 point)

Graph the line
7. Identify three points on your line. (1 point)

8. Using the coordinates from question 7, calculate the slope of your line. Does it match the slope from your model? (2 points)

Graph the Equation
9. On the graph below, plot the points and sketch your line. (4 points: 1 for each graphed point, 1 for the line)

Find the Temperature Range
10. Complete the sentence for your layer. (1 point)
The troposphere is the region that starts at Earth's surface and ends between km and km above Earth.

The upper crust is the region that starts at Earth's surface and ends between km and km below Earth's surface.
Use the temperature equation to find the temperature range for your layer.
11. What is the temperature at the end of your layer that is farthest from the surface? (1 point)

12. For the layer you selected, the temperature ranges from the temperature at Earth's surface, _8, to __14.5. (1 point)

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