Which of the following functions has an initial value of 3/2 and a rate of change of -2/3? A. y=2/3x+3/2
B. y=−3/2x−2/3
C. y=3/2x−2/3
D. y=−2/3x+3/2

The right answer is Option D:

Step-by-step explanation:

Given that initial value of 3/2 and rate of change is -2/3

The given functions can be observed and it can be concluded that the functions are in the form

Here m is the slope which is also called rate of change and c is the y-intercept.

The y-intercept is the initial value when input is zero.

So we have to look for a function that has 3/2 in place of c and -2/3 in place of m.

From the given options,

is the matching function

Hence,

The right answer is Option 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:

the answer is 128