Which function , a or b has a greater rate of change ? be sure to include the values for the rates of change in your answer . explain your answer in words .

A rate of change tells us  how one quantity changes in relation to another quantity. In a mathematical language, we can write this as follows:

For linear functions. the rate of change is the slope of the line. Thus:

FOR THE TABLE:

By taking two points we can get the rate of change, so let's take :

FOR THE GRAPH:

Let's take :

As you can see, so the ROC of the function given by the graph is greater than the ROC of the function given by the table.

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

if you would like with a question it is easy to get an answer by including some or multi choice options

step-by-step explanation: