Question
X Y
2 22
8 25
Determine the rate of change in the initial value of the linear function given year as a table values
2 22
8 25
Determine the rate of change in the initial value of the linear function given year as a table values
Answers
GPT 3.5
To determine the rate of change in the initial value of the linear function, we can use the formula:
Rate of Change = (change in Y) / (change in X)
In this case, the initial value is the Y-intercept of the linear function. Looking at the table of values:
Initial value (Y-intercept) = 22
Now we can calculate the rate of change in the initial value by comparing the initial value with the Y value at X=8:
Change in Y = 25 - 22 = 3
Change in X = 8 - 2 = 6
Rate of Change = 3 / 6 = 0.5
Therefore, the rate of change in the initial value of the linear function is 0.5.
Rate of Change = (change in Y) / (change in X)
In this case, the initial value is the Y-intercept of the linear function. Looking at the table of values:
Initial value (Y-intercept) = 22
Now we can calculate the rate of change in the initial value by comparing the initial value with the Y value at X=8:
Change in Y = 25 - 22 = 3
Change in X = 8 - 2 = 6
Rate of Change = 3 / 6 = 0.5
Therefore, the rate of change in the initial value of the linear function is 0.5.