Phillip is standing across the classroom from his desk. he walks x steps in a straight line to his right, turns left at a 90° angle, and then walks another y steps in a straight line to arrive at his desk. the shortest path from phillip's original position to his desk is d steps. which of the following functions would best model the situation above?   a. polynomial b. step c. absolute value d. square root

The functions that would best model the situation above is:

                      Option:d

                   d.  Square root

From the diagram attached to the answer we may clearly observe that the shortest path from Phillip's original position to his desk could be  calculated with the help of Pythagorean Theorem as:

( Since, the shortest step d is the hypotenuse of the right Triangle with other two legs as x and y )

Hence, the function that model this situation is a square root function.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24