The values in the table below represent function b, which is a linear function.
function l is represented by the equation y = 6x + 4. compare functions b and l by determining which one has the greater rate of change and which one has a greater y-intercept. explain why your answers are correct.

The rate of change is expressed as the ratio between a change in one variable relative to a corresponding change in another. On the other hand, a linear function is given as the form:

And is the rate of change we are looking for. For Function B we have a Table and the slope can be found by choosing two points, therefore:

As you can see has a rate of change of 6 while the function of the table has a rate of change of 3.

In conclusion, has the greater rate of change

We need to get the equation that rules the points given on the table. Two-Point Form of the Equation of a Line is:

As you can see has a y-intercept of while the function of the table has a y-intercept of

In conclusion, also has the greater y-intercept

step-by-step explanation:

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: