20 points math much appreciated decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points) f(x) = 2149 ⋅ 0.9915x a) exponential growth function; -0.85% b) exponential growth function; 0.0085% c) exponential decay function; 0.0085% d) exponential decay function; -0.85%

D) exponential decay, -0.85%

The base of the exponential is less than 1, so the function is a decay function. As x increases, we multiply by a number smaller than 1 more times, so the function value keeps getting smaller and smaller.

The percentage change can be found by recognizing that the growth (decay) factor can be written as ...

... (1 + fraction of change)

So we have ...

... 0.9915 = 1 + (fraction of change)

Subtracting 1 gives ...

... -0.0085 = (fraction of change)

Expressing this as a percentage, we have ...

... (fraction of change) = -0.0085 × 100% = -0.85%

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

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.