Functions Unit Test 5 of 155 of 15 Items Question Use the table to answer the question. x y 2 22 8 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=, and the initial value is b=.

Answer 1

To find the rate of change, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the values in the table:
m = (25 - 22) / (8 - 2)
m = 3 / 6
m = 0.5

Therefore, the rate of change is m = 0.5.

To find the initial value, we can use the formula for a linear function:

y = mx + b

Using one of the points in the table (let's use x = 2, y = 22):
22 = 0.5 * 2 + b
22 = 1 + b
b = 21

Therefore, the initial value is b = 21.