How do i figure out the instantaneous rate of change with given graph and it says find the rate at t = 6 s

I would look at rate of change (slope) of the graph.

If the graph is horizonal, rate of change is zero
If the graph is sloping, the slope is the rate of change.

Do i have to make a tangent line?

Also, do i have to use numbers like 5.99 and 6.01 to find the rate of change @ t = 6s

To find the instantaneous rate of change at a specific point on a graph, you need to calculate the derivative of the function that represents the graph. Here are the steps you can follow:

1. Identify the function: Determine the equation or formula that represents the graph you are given.

2. Differentiate the function: Use calculus techniques to find the derivative of the function. Differentiation involves finding the slope of the function at any given point. If you are not familiar with how to differentiate, you can use reliable mathematical software or tools (such as Wolfram Alpha or Symbolab) to calculate the derivative for you.

3. Evaluate the derivative at the given point: Substitute the value of t = 6 s into the derivative you calculated in step 2. This will give you the instantaneous rate of change at t = 6 s.

By following these steps, you should be able to determine the instantaneous rate of change at t = 6 s using the given graph.