The table below represents the distance of an airplane from its destination as a function of time: time (hours) x distance (miles) y 0 2,700 1 2,160 2 1,620 3 1,080 4 540 part a: what is the y-intercept of the function, and what does this tell you about the airplane? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the airplane continued to travel at this rate until it reached its destination? (2 points)

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

What unit of been sure would be appropriate for the volume of a sphere with a radius of 2 meters

What is the equation of a line that passes through points (0, 4) and (-4,-8)?