I have to make a scale model of Mt. Kilimanjaro using this linear function y=y= 34.63x + 2789.8 with these coordinates (0,1800), (6,2900), (18,3657), (24,4600), (48,4750), (96,5681). How do I do this?
To create a scale model of Mt. Kilimanjaro using the given linear function, you first need to understand the equation of the line: y = 34.63x + 2789.8.
Here are the steps to follow:
1. Begin by plotting the given coordinates on a graph. The x-coordinate represents the distance in kilometers, and the y-coordinate represents the elevation in meters.
2. Label the x-axis as "Distance (km)" and the y-axis as "Elevation (m)".
3. Now, for each coordinate, plot a point on the graph according to its respective x and y values.
4. Once all the points are plotted, draw a scatter diagram to connect them. This will represent the shape of the mountain.
5. Next, you will create the scale for your model. Determine the range of distances you want to represent in your scale model. For example, if you want a scale model to represent a range from 0 to 100 kilometers, you need to decide how many centimeters or millimeters you want to represent each kilometer. Let's assume you choose 1 centimeter per kilometer.
6. Now, multiply each x-coordinate from your graph by the chosen scale factor. This will give you the length of each segment on your scale model.
For example, if the x-coordinate is 6 on your graph, you would multiply it by 1 (scale factor) to get 6 centimeters.
7. Repeat step 6 for all the x-coordinates in your dataset.
8. Finally, draw a line connecting the corresponding scaled points on your desired scale. This line will represent the scale model of Mt. Kilimanjaro.
By following these steps, you can create a scale model of Mt. Kilimanjaro using the given linear function and coordinates.