Question

The ratio of boys to girls at a school dance is shown in the graph. Which equation has a greater rate of change than the rate shown in the graph? A graph is shown in the xy-plane. The x-axis is labeled as Number of Girls and the y-axis is labeled as Number of Boys. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range from 0 to 9 in increments of 1. A line starts from the origin, goes up, and passes through (4, 1). A. y = 1 5 x B. y = 1 7 x C. y = 2 9 x D. y = 2 3 x

Answer 1

y = 2/3x

Explanation:

The graph shows a rise of 1 for a run of 4, so its slope is ...

rise/run = 1/4

The equation with a greater rate of change is the one with an x-coefficient greater than 1/4. That one is ...

y = 2/3x