Rate of Change / Proportional Relationships

(a)  

A ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.

Snow is falling at a steady rate in both Rockford and Allendale. The table shows the amount of snow that falls in Rockford. The equation y=0.75x describes the snowfall in Allendale. In the equation, y represents the amount of snow in inches that falls in x hours. In which city is snow falling at a faster rate?

Which proportional relationship has the greatest rate of change?

What is the rate of change of Elizabeth's hiking record? What does it mean? (You will select ONE rate of change and ONE meaning)

Each day Sam rides either her road bike or her cruiser bike through the park. There is a proportional relationship between the amount of time she spends riding and the distance she travels. The equation y=175x describes how far Sam travels on her road bike. The graph shows how far Sam travels on her cruiser bike. Which bike does Sam ride faster?