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%

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent