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?
To draw a short roller coaster on graph paper, follow these steps:
1. Start by drawing the side view of your roller coaster on the graph paper. Remember, for simplicity, assume that the roller coaster track never turns left or right. You can use a pencil to outline the path your roller coaster will take.
2. Once you've drawn the roller coaster, label the x- and y-axes on the graph paper. The x-axis represents the horizontal distance from the roller coaster cart to the starting point, and the y-axis represents the height of the roller coaster cart.
3. Begin plotting ordered pairs on the graph paper to represent the initial climb. For example, you can start with an ordered pair like (0, 0) to represent the starting point. Plot a few more ordered pairs along the initial climb, such as (1, 2), (2, 4), (3, 6), etc. These ordered pairs will form a line that represents the initial climb.
4. To find the equation of the line representing the initial climb, determine the slope of the line. The slope represents the rate at which the roller coaster is gaining height. You can calculate the slope by using the formula: slope = (change in y) / (change in x). Choose two ordered pairs from the initial climb and calculate the slope.
5. The domain of your roller coaster is the set of horizontal distances it covers. In other words, it represents the x-values on the graph. Determine the starting and ending points of your roller coaster and note the range of possible x-values.
6. To find which hill is steeper, plot ordered pairs at the top and end of each hill on the graph paper. Calculate the rate of change (slope) for each hill by choosing two ordered pairs. The hill with a higher rate of change (greater slope) will be steeper. You can compare the slopes to determine which hill is steeper.
7. To check if your roller coaster is a function, consider if there are any vertical lines that intersect the roller coaster more than once. If there are no such lines, then your roller coaster is a function. However, it's important to note that in some cases, roller coasters can have loops or corkscrews that are not functions because they have multiple y-values for a single x-value.
Remember, graph paper can help you visualize and accurately represent your roller coaster. Take your time and don't be afraid to make adjustments as you go along. Good luck with your roller coaster project!
so, where do you get stuck?
I assume you have some graph paper, and can draw lines ...