Question

The rate of change in the function Y = 2X +5 is the rate of change of the function represented in the table

Answer 1

Answer:

The rate of change in the function Y = 2X +5 is greater than the rate of change of the function represented in the table

Step-by-step explanation:

The given function is

$y = 2x + 5$

For a linear function in the form y=mx +c, the rate of change is m.

The rate of change of this function is 2

We now determine the rate of change of the function represented in the table.

This is given by

$\frac{change \: in \: y}{ change \: in \: x}$

Using the corresponding values from the table, the rate of change is

$\frac{6 - 4}{5 - 3} = \frac{2}{2} = 1$

Therefore the rate of change in the function Y = 2X +5 is greater than the rate of change of the function represented in the table