Question

the table defines snowfall as a function of elevation for a recent snowstorm in a city. a function that closely models the data in the table is f(x)=0.0027x + 2. enter this function into a y variable on a calculator. complete parts a through g.
b. at an elevation of 2500 feet, there were approximately 8.75 inches of snowfall.
c. determine f(-2000). does this have any meaning in this context?
f(-2000)= - 3.4 (simplify your answer. type an integer or a decimal.)
does f(-2000) have any meaning in this context? select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(type an integer or a decimal.)
a. it has no meaning in this context because - 2000 would mean 2000 inches of snowfall, but feet of elevation is not possible.
b. it has no meaning in this context because - 2000 would mean 2000 feet below sea level, but inches of snowfall is not possible.
c. the meaning of f(-2000) is at an elevation of feet, there were approximately - 2000 inches of snow.
d. the meaning of f(-2000) is at an elevation of 2000 feet below sea level, there were approximately inches of snowfall.

Explanation:

Step1: Substitute $x = - 2000$ into function

Given $f(x)=0.0027x + 2$, substitute $x=-2000$: $f(-2000)=0.0027\times(-2000)+2$.

Step2: Calculate the first - part of the expression

$0.0027\times(-2000)=-5.4$.

Step3: Calculate the final result

$f(-2000)=-5.4 + 2=-3.4$.

In the context of elevation and snow - fall, elevation cannot be negative in this real - world scenario as it represents height above sea level. So, $f(-2000)$ has no meaning.

Answer:

$f(-2000)=-3.4$
B. It has no meaning in this context because - 2000 would mean 2000 feet below sea level, but negative inches of snowfall is not possible.