Question

Which relationship has a greater rate of change? How much greater?

Answer 1

The rate of change of the graph is greater. It is twice the rate of change of the table.

Step-by-step explanation

First we have to find each rate of change.

For the table, the rate of change is:

`\text{ rate of change}=(y_1-y_2)/(x_1-x_2)=(-3-(-2))/(-4-(-2))=(-3+2)/(-4+2)=(-1)/(-2)=(1)/(2)`

For the graph, we can use the intercept points to find the rate of change: (4,0) and (0, -4)

`\text{ rate of change}=(0-(-4))/(4-0)=(4)/(4)=1`

The rate of change of the graph is greater than the rate of change of the table, and it's 2 times greater