Which graphs could represent a proportional relationship?

The xy coordinate plane with the origin labeled “O”. For each graph, the x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. In graph A, the curve is a line that begins at the origin and moves steadily upward and to the right.

The xy coordinate plane with the origin labeled “O”. For each graph, the x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. In graph B, the curve begins at the origin and moves upward and to the right. It moves slowly in the beginning and then goes steeply upward.

The xy coordinate plane with the origin labeled “O”. For each graph, the x axis has the numbers 0, 5, and 10 indicated. The y axis has the numbers 0 and 5. In graph C, the curve is a line that begins at the origin and moves slowly upward and to the right.

The xy coordinate plane with the origin labeled “O”. In graph D, the curve is a line that begins on the vertical axis and above the origin. It moves slowly upward and to the right.

A lemonade recipe calls for \(\frac14\) cup of lemon juice for every 1 cup of water.

Select all the pieces of information that would tell you \(x\) and \(y\) have a proportional relationship. Let \(y\) represent the distance in meters between a rock and a turtle's current position and \(x\) represent the time in minutes the turtle has been moving.

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would be the constant of proportionality?

1. The sizes a photo can be printed

   width of photo (inches)	height of photo (inches)
   2	3
   4	6
   5	7
   8	10

2. The distance from which a lighthouse is visible

   height of a lighthouse (feet)	distance it can be seen (miles)
   20	6
   45	9
   70	11
   95	13