1. A graph shows the distance a train travels in miles versus time in hours. If the point $(4, 240)$ is on the graph, what does it represent?
2. A proportional relationship is graphed with cost on the y-axis and tickets on the x-axis. The point $(8, 40)$ is on the graph. What is the unit rate in dollars per ticket? ___
3. On a graph showing a proportional relationship between earnings and hours worked, what does the point $(1, 22)$ represent?
4. A graph shows the number of cookies baked over time. The point $(3, 75)$ is on the graph. This means the point $(1, r)$, which represents the unit rate, is also on the graph. What is the value of $r$? ___
5. The graph of a proportional relationship must pass through a specific point that shows that zero units of one quantity corresponds to zero units of the other. Which point is this?
6. A pancake recipe requires 9 cups of flour for every 3 cups of milk. What is the constant of proportionality of flour ($y$) to milk ($x$)? The constant is ___.
7. The table shows the total cost for a number of books. What is the constant of proportionality relating cost ($y$) to the number of books ($x$)? | Books (x) | 2 | 4 | 5 | | Cost ($) (y) | 14 | 28 | 35 |
8. A car travels 240 miles in 4 hours. If the distance traveled ($y$) is proportional to the time ($x$), what is the constant of proportionality? $k = $ ___.
9. If 6 identical pencils cost 18 dollars, what is the constant of proportionality of the cost ($y$) to the number of pencils ($x$)? The constant is ___.
10. A water pump moves 75 gallons of water ($y$) in 5 minutes ($x$). Assuming the relationship is proportional, find the constant of proportionality. $k = $ ___.