Ive been absent in school, and got my work sent to me.
I dot get it, it gives me a table, x and y, and says find the rate of change. HOw do i do that? It also say to explain what the rate of change means in each situation......uhhh what.
the rate of change is the (change in y) divided by the (change in x)
It's just the slope of the line joining the two points.
Don't know what's in your table, but that's the basis.
Post it.
To find the rate of change from a table of values, calculate the difference in the y-values (dependent variable) divided by the difference in the x-values (independent variable) for any two points on the table.
Here's step-by-step guidance on how to find the rate of change:
1. Look at the given table with x and y values. Identify two points from the table that you can use to calculate the rate of change.
2. Choose any two points (x₁, y₁) and (x₂, y₂) from the table.
3. Calculate the difference in the y-values: Δy = y₂ - y₁.
4. Calculate the difference in the x-values: Δx = x₂ - x₁.
5. Divide the difference in the y-values by the difference in the x-values: rate of change = Δy / Δx.
To explain the meaning of the rate of change in each situation, consider what the x and y variables represent in the context of the problem.
For example, if the x-values represent time and the y-values represent distance, the rate of change would represent the speed or velocity. If the x-values represent years and the y-values represent population, the rate of change would indicate the population growth rate.
By analyzing the rate of change, you can understand how the dependent variable (y) changes with respect to the independent variable (x) in the given situation. This helps interpret trends, patterns, or relationships within the data.