The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda: A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 10, 20, 30, 40, 50. Points are shown on ordered pairs 0, 0 and 1, 10 and 2, 20 and 3, 30 and 4, 40. These points are connected by a line. The label on the x axis is Lemon lime soda in cups. The title on the y axis is Mango juice in cups.

What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?

a 1:40
b 10:1
c 40:1
d 1:10

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.