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.

a. complete the table using the function f. verify the answers using the table feature of a graphing calculator. (simplify your answers. type integers or decimals.)

elevation, x	1000	2000	3000	4000
snowfall, f(x)	4.7	7.4	10.1	12.8

b. determine f(2500) and explain its practical meaning in this situation.
f(2500)=8.75 (simplify your answer. type an integer or a decimal.)
explain the practical meaning of f(2500) in this situation. select the correct choice below and fill in the answer box to complete your choice. (type an integer or a decimal.)
o a. at an elevation of feet, there were approximately 2500 inches of snowfall.
o 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)= (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Calculate f(2500)

Substitute x = 2500 into f(x)=0.0027x + 2.
$f(2500)=0.0027\times2500+2$
$=6.75 + 2$
$=8.75$

Step2: Analyze meaning of f(2500)

In the context of snow - fall as a function of elevation, x represents elevation in feet and f(x) represents snow - fall in inches. So at an elevation of 2500 feet, there were approximately 8.75 inches of snowfall.

Step3: Calculate f(-2000)

Substitute x=-2000 into f(x)=0.0027x + 2.
$f(-2000)=0.0027\times(-2000)+2$
$=- 5.4+2$
$=-3.4$
Since elevation cannot be negative in this real - world context of measuring elevation above sea level for a city snowstorm, f(-2000) has no meaning in this context.

Answer:

a. The completed table values are correct as calculated using the function f(x)=0.0027x + 2.
b. f(2500)=8.75; B. At an elevation of 2500 feet, there were approximately 8.75 inches of snowfall.
c. f(-2000)=-3.4; No, it has no meaning in this context as elevation cannot be negative.