Consumer awareness an automobile gets 28 miles per gallon at speeds up to and including 50 miles per hour. at speeds greater than 50 miles per hour, the number of miles per gallon drops at the rate of 12% for each 10 miles per hour. if s is the speed (in miles per hour) and is the number of miles per gallon, then y =28e0.6 - 0.012s> 50. use this information and a spreadsheet to create a table showing the miles per gallon for s = 50,55,60,65, and 70.what can you conclude?

What’s 8y+48 and factor each expression completely

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.)

Write the slope intercept equation for line ab.