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:

$\dfrac{y_2 - y_1}{x_2 - x_1}$

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

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

$m = \dfrac{30 - 21}{2 - 1} = 9$

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