A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6 -passenger cars, x , and the number of 3 -passenger cars y ? (Not all points may apply to the scenario.)
Answer
A
Image with description A coordinate plane with a solid line. The x and y axes are labeled from negative 5 to 5 in increments of 1. The solid line passes through the points 0 comma 4 and 2 comma 0. The region above and to the right of the line is shaded.
B
Image with description A coordinate plane with a solid straight line and a shaded region. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The line has a negative slope and passes through the points 0 comma 4 and 2 comma 0. The region to the left of the line is shaded.
C
Image with description A coordinate plane with a straight line of negative slope and a shaded region. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The line extends from the upper-left area of the plane near negative 4 comma 4 to the lower-right area near 4 comma 1, passing through the upper-center portion of the plane. The region above the line is shaded.
D
Image with description A coordinate plane with a solid straight line and a shaded region. The x and y-axes are labeled from negative 5 to 5 in increments of 1. The line has a negative slope and passes through the points 0 comma 4 and 2 comma 0. The region to the right of the line is shaded.