I NEED HELP ASAP, PLEASE! I don't understand how to do this
I have to draw a short roller coaster on graph paper
Directions:
1. Draw the side view of your roller coaster on graph paper. For the sake of simplicity, assume that your roller coaster track never turns left or right.
o In order to gain speed, the roller coaster should have an initial climb, at least two hills, and one loop.
2. Label the x- and y-axes. The value of x measures the horizontal distance from the roller coaster cart to the starting point, and the value of y represents the height of the roller coaster cart.
3. Plot ordered pairs on the initial climb and determine the slope.
4. What is the equation of the line that represents your initial climb?
5. What is the domain and range of your roller coaster?
6. Plot ordered pairs at the top and the end of each hill. Find the rate of change
to determine which hill is steeper? How do you know that hill is steeper?
7. Is your roller coaster a function? Why or why not?
yo I ain't even complete that but once y'all done slide over the work y'all feel me?
So, what have you done so far?
Like asap I ain't going wait
I'll be happy to help you understand how to complete your roller coaster drawing on graph paper. Let's go through each step one by one:
1. Draw the side view of your roller coaster on graph paper:
To begin, you'll need graph paper, which is typically divided into equally spaced squares. Each square represents a unit of measurement. You can consider each square to be 1 unit for simplicity. Using the graph paper, draw the side view of your roller coaster track, making sure to include an initial climb, at least two hills, and one loop. Remember, your roller coaster track should only go up and down without any left or right turns.
2. Label the x- and y-axes:
Next, label the x-axis and the y-axis on your graph paper. The x-axis represents the horizontal distance from the starting point of the roller coaster cart, and the y-axis represents the height of the roller coaster cart. Assign appropriate values and units to each axis, depending on the scale you are using.
3. Plot ordered pairs on the initial climb and determine the slope:
Now, plot a few ordered pairs of points along the initial climb of your roller coaster track on the graph paper. An ordered pair consists of an x-coordinate and a y-coordinate. For example, you can plot points like (0, 0), (1, 2), (2, 4), and so on. Once you have a few points, you can determine the slope of the initial climb. The slope represents the change in y divided by the change in x. Calculate the differences in y and x between two consecutive points and divide the change in y by the change in x to find the slope.
4. Find the equation of the line that represents your initial climb:
To find the equation of the line that represents your initial climb, you need to use the slope-intercept form of a line, which is y = mx + b. In this equation, m represents the slope you calculated in step 3, and b represents the y-intercept. The y-intercept is the value of y when x is 0, or in other words, the height of the roller coaster cart at the starting point. By substituting the slope and the y-intercept into the equation, you can find the equation of the line that represents your initial climb.
5. Determine the domain and range of your roller coaster:
The domain of your roller coaster represents the set of all possible x-values for the roller coaster cart on the graph. It will depend on the starting point and how far the roller coaster track extends horizontally. The range, on the other hand, represents the set of all possible y-values for the height of the roller coaster cart. It will depend on the highest and lowest points of your roller coaster track.
6. Determine which hill is steeper:
To determine which hill is steeper, you need to find the rate of change between the top and the end of each hill. The rate of change is the change in y divided by the change in x. Calculate the rate of change for each hill by selecting two points - one at the top and one at the end of each hill - and dividing the change in y by the change in x. The hill with the greater rate of change is steeper. You can also visually compare the steepness by looking at how quickly the roller coaster track rises and falls in each hill.
7. Determine if your roller coaster is a function:
A function is a mathematical relationship where each input (x-value) has only one output (y-value). In the case of your roller coaster, if no two points on the roller coaster track have the same x-coordinate but different y-coordinates, then your roller coaster is a function. This means that for any given x-value, there is only one corresponding y-value on your roller coaster track.
I hope this helps you understand how to complete your roller coaster drawing and answer the related questions. If you have any more specific questions or if there's anything else you'd like to know, feel free to ask!