Question 16(multiple choice worth 1 points) (09.01) a food packet is dropped from a helicopter and is modeled by the function f(x) = −12x2 + 19200. the graph below shows the height f(x), in feet, of the food packet at different times x, in seconds: graph of function f of x equals 19200 minus 12 multiplied by x squared use the graph to determine the reasonable domain of f(x) based on the context. all real numbers x ≤ 19200 −40 ≤ x ≤ 40 0 ≤ x ≤ 40

The reasonable domain of f(x) based on the context:

                        0 ≤ x ≤ 40

Step-by-step explanation:

The domain of a function is the collection of all the x-values where the function is defined.

We are given a modelling function f(x) which denotes the height f(x), in feet, of the food packet at different times x,in seconds by:

     

The independent variable i.e. x has to be greater than or equal to zero.

i.e.   x ≥ 0

and also the value of function i.e. f(x) has to be greater than or equal to 0

( because the packet will either reach the ground i.e. f(x)=0 or will be at some level above the ground i.e. f(x)>0 )

  Hence, we have:

 

Also, by the graph we have to check all those x where the function function is greater than equal to zero and also x≥0.

         Hence, the domain of the function is:

               0 ≤ x ≤ 40

Are you trying to figure out the volume?

At a constant it will take one hour to travel 32 mi.at that speed it will take 1/2 hr to travel the remaining 16 mi.it will take 1+1/2 hr to travel the 48mi @ 32mph.so 1 hr = 60 min& 1/2 hr = 30 min1+1/2 hr = 90 min.there are 60s in each 90 × 60 = 3600 seconds.the real question seriously is he why are they driving so slow? ! lol.