Given the equation f(x) = 40(1.2)x. which of the following situations could this equation represent? a. there is a flu outbreak at your school that starts with 40 people. the number of ill students increases by 20% each hour, x represents the number of hours. x b. a total of 40 people play a video game. the game randomly kills 1.2 people per hour, x represents the number of hours. c. a rabbit population starts with 40 bunnies. the bunnies propagate (reproduce) at a rate of 20% per week, x is the number of weeks. d. there is a flu outbreak at your school that starts with 40 people. the number of ill students increases by 1.2 people each hour, x represents the number of hours. e. both a and c.

Choose the number sentence that shows the identity property of addition. a. 122 = 61 + 61 b. 62 = 1 + 61 c. 61 = 0 + 61

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.)

Without multiplying, tell which product is larger and why. 5 × 1/3 or 5 × 2/3 a)5 × 1/3 because 1/3 is less than 2/3 b) 5 × 1/3 because 1/3 is greater than 2/3 c) 5 × 2/3 because 1/3 is less than 23 d) 5 × 23 because 1/3 is greater than 2/3