Quiz on Average Speed

Joseph ran a 6-mile race in 48 minutes. Which graph has a slope that best represents Joseph’s average rate of speed during the race?

An oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours. Which graph has a slope that best represents this rate?

A water hose discharges water at a rate of 45 gallons per minute. Which graph has a slope that best represents this rate?

Leanor pays a total of $16.50 for every 6 shirts she has dry-cleaned. Which graph models a relationship with the same unit rate?

An aquarium is being filled with water. The graph shows the height of the water over time as the aquarium is being filled. Which statement best describes the rate of change for this situation?

A tree in Dante’s neighborhood grew 18 inches in the first 2 years after it was planted. If the tree continues to grow at this same rate, which graph best represents the growth rate of the tree in inches per year?

On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with the same unit rate?

Judy can decorate 3 cakes in 5 hours. Which graph has a slope that best represents the number of cakes per hour Judy can decorate?

An artist started with some paint bottles. The artist buys the same number of additional bottles each week. The table shows the linear relationship between x, the number of weeks, and y, the number of bottles that the artist has. How many bottles did the artist have at the start?

The table shows a linear relationship between the variables $ x $ and $ y $. What are the slope and $ y $-intercept of the linear relationship? Choose the correct answer from each drop-down menu to complete the sentence. The slope of the linear relationship is ___, and the $ y $-intercept is ___.