A drain empties a bathtub at a rate of 0.5 gallons per minute. A 30-gallon tub was full and the shower head was turned off,
how long would it take the tub to empty through the partly
unplugged drain?

Write the function for the graph. (1.8) (0,4)

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.)

Joe bought 4.25 pounds of pears for $7.18. if the equation 4.25x = 7.18models the situation, what does the variable stand for?