Question

What is the intial value and rate of change in this graph. please explain step by step!!!!!

Answer 1

The initial value means the first value of the table given.

Here it's 12 when x equals 0

You can determine the rate of change by taking any given two values.

Let's take point one and two.

Point one is (0,12) , point two is (1,21)

Apply the equation for the slope :

=> (21 - 12) / (1 - 0) = 9

So the range of change is 9.

Rate of cgange means how much y value changes with respect to x at any given points.

if you see the table it's clear that y changes by 9 for every next value.

Hope this helps!

Answer 2

The initial value of the graph is where
`x = 0`. Thus, in this case, the initial value is 12.

The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:

`(y_2 - y_1)/(x_2 - x_1)`

• 
  `(x_1, y_1)` and
  `(x_2, y_2)` are points on the graph

Let's use two points from the chart to find the slope:

`m = (30 - 21)/(2 - 1) = 9`

In this case, the rate of change of the graph is 9.