Question
X(2.6, 3.2) Y(-6, 3) Determine the rate of change of the linear function given as a table of values.
Answers
GPT 3.5
To determine the rate of change of the linear function given by the table of values, we need to find the slope of the line that represents the function.
Using the formula for slope, which is defined as the change in y divided by the change in x, we can calculate the rate of change.
Let's assign X(2.6, 3.2) to be the point (x₁, y₁) and Y(-6, 3) to be the point (x₂, y₂).
The change in x (Δx) is equal to x₂ - x₁ = -6 - 2.6 = -8.6
The change in y (Δy) is equal to y₂ - y₁ = 3 - 3.2 = -0.2
Therefore, the rate of change (slope) is Δy/Δx = -0.2/-8.6 = 0.0233
So, the rate of change of the linear function is approximately 0.0233.
Using the formula for slope, which is defined as the change in y divided by the change in x, we can calculate the rate of change.
Let's assign X(2.6, 3.2) to be the point (x₁, y₁) and Y(-6, 3) to be the point (x₂, y₂).
The change in x (Δx) is equal to x₂ - x₁ = -6 - 2.6 = -8.6
The change in y (Δy) is equal to y₂ - y₁ = 3 - 3.2 = -0.2
Therefore, the rate of change (slope) is Δy/Δx = -0.2/-8.6 = 0.0233
So, the rate of change of the linear function is approximately 0.0233.