To find the rate of change, we need to calculate the difference in the y-values divided by the difference in the x-values:
Rate of change (m) = (change in y)/(change in x) = (25-22)/(8-2) = 3/6 = 0.5
So, the rate of change of the linear function is 0.5.
To find the initial value (y-intercept or b), we can choose any pair of values from the table and use the slope-intercept form of a linear equation:
y = mx + b
Using the point (2, 22) from the table:
22 = 0.5(2) + b
22 = 1 + b
b = 22 - 1
b = 21
So, the initial value of the linear function is b = 21.
Use the table to answer the question. x 2 8 y 22 25
Determine the rate of change and the initial value of the linear function given here as a table of values. (1 point) The rate of change is m= 0.5 and the initial value is b= ?
1 answer