The table below shows the linear function f.
x: -6,-5,-4,-3,-2
f(x): 22,19,16,13,10
determine the average rate of change of the given function over an interval [-5, -2].
a. -1/3
b.1/3
c.-3
d.3

The correct choice is C.

Step-by-step explanation:

The average rate of change of the given function over the interval [-5,-2] is the slope of the secant line connecting;

and

This implies that the average rate of change over [-5,-2]

From the table; f(-2)=10 and f(-5)=19

We substitute and simplify to obtain;

Average rate of change

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

answer: approximately 206 bones

i hope this u out a branlist and a would be greatly appreciated :