How do the average rates of change for the pair of functions compare over the given interval?
f(x)=0.9x^2
g(x)=3.6x^2
4 is less than or equal to x is less than or equals 7
The average rate of change of f(x) over 4 is less than or equal to x is less than or equals 7 is ?
The average rate of change of g(x) over 4 is less than or equal to x is less than or equals 7 is ?
The average rate of change of g(x) is ? times that of f(x)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

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

therefore the required function is . the graph of this function is shown below.

30

step-by-step explanation:

times by times

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

your answer is option c.