Question

Identify the initial value and rate of change for the graph shown below.

Initial value: 5.5, rate of change: negative 3 over 4.
Initial value: 4, rate of change: negative 3 over 4.
Initial value: negative 3 over 4., rate of change: 4
Initial value: negative 3 over 4., rate of change: 5.5

Answer 1

The initial value is 4 and the rate of change is -3/4

Answer 2

The initial value is 4 and the rate of change is tex]\frac{-3}{4}[/tex]

Explanation:

The initial value is the y intercept of the given line.

Y intercept is the point where the graph crosses y axis

y intercept is (0,4) so initial value is 4

Rate of change is the slope

To find rate of change we use formula
`(y_2-y_1)/(x_2-x_1)`

Pick two points from the graph

(0,4) and (4,1)

Rate of change =
`(1-4)/(4-0)=(-3)/(4)`