(07.08 HC) The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
Motion of a Dragonfly
у
300
240
Distance
(miles) 180
120
60
Х
0
2 4 6 8 10
Time (hours)
Based on the graph, what is the dependent variable, what is the equation relating the two variables, and how far will the dragonfly travel in 24
hours if it continues to fly at the same speed? (1 point)
оа
Oь
The dependent variable is time, the equation is x = 30y, and the dragonfly will travel 600 miles.
The dependent variable is time, the equation is y = 30x, and the dragonfly will travel 720 miles.
The dependent variable is distance, the equation is x = 30y, and the dragonfly will travel 600 miles.
The dependent variable is distance, the equation is y = 30x, and the dragonfly will travel 720 miles.
Ос
Od
Review Answers
Saved at 4:28 pm

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

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.)

On friday, there were x students at the baseball game. on monday, there were half as many students at the game as there were on friday. on wednesday, there were 32 fewer students at the game as there were on friday. which expression could represent the total number of tickets sold for all 3 games?