Which statement describes the rate of change of the following function? f(x) = -5x - 7

A.
The function has a varying rate of change when x < 7.
B.
The function has a varying rate of change when x < 5.
C.
The function has a constant rate of change, decreasing for all x at a rate of 7.
D.
The function has a constant rate of change, decreasing for all x at a rate of 5.

Given:

The function is

To find:

The rate of change of the given function.

Solution:

We have,

       ...(i)

It is a linear function because the degree or power of x in this function is 1.

Slope of a linear function is always constant.

The slope intercept form of a linear function is

     ...(ii)

where, m is slope and b is y-intercept.

On comparing (i) and (ii), we get

It means, the function has a constant rate of change, decreasing for all x at a rate of 5.

Therefore, the correct option is D.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

step-by-step explanation:

idk the answer i want to say 10 but then it would be equal so try 9 but then yeah so yeah we love edgen