The distance, y, in miles, traveled by a car for a certain amount of time, x, in hours, is shown in the graph: A graph titled Motion of a Car is shown with Time in hours labeled on x-axis and Distance from Starting Point in miles labeled on y-axis. The scale on the x-axis shows the numbers 1, 2, 3, 4, 5, 6, and the scale on the y-axis shows the numbers 0, 16, 32, 48, 64, 80, 96. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 1, 16. The second straight line joins 1,16 and 4,16, and the third straight line joins ordered pair 4,16 with the ordered pair 5,48. Which of the following best describes the motion of the car that is shown? (1 point) It travels for 1 hour, then stops for 3 hours, and finally travels again for 2 hours. It travels for 1 hour, then stops for 3 hours, and finally travels again for 5 hours. It travels for 1 hour, then stops for 4 hours, and finally travels again for 5 hours. It travels for 1 hour, then stops for 3 hours, and finally travels again for 1 hour.

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