1. 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 ___.
2. 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 ($) (y) | 14 | 28 | 35 |
3. A car travels 240 miles in 4 hours. If the distance traveled ($y$) is proportional to the time ($x$), what is the constant of proportionality? $k = $ ___.
4. 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 ___.
5. A water pump moves 75 gallons of water ($y$) in 5 minutes ($x$). Assuming the relationship is proportional, find the constant of proportionality. $k = $ ___.
6. A table shows hours biked and distance covered. After 2 hours, a cyclist travels 18 miles. After 3 hours, 25 miles. Is the relationship between distance and time proportional?
7. The cost to buy concert tickets is proportional to the number of tickets. If 3 tickets cost 150 dollars, and 5 tickets cost 250 dollars, what is the cost of 4 tickets? $___
8. A table shows the number of workers (x) and the number of toy cars assembled (y). Which table below represents a proportional relationship?
9. A machine fills juice bottles at a constant rate. It fills 120 bottles in 3 minutes and 200 bottles in 5 minutes. If the relationship is proportional, how many minutes does it take to fill 360 bottles? ___ minutes
10. A table relates the number of pages read (p) to the time in hours (h). It shows p=60 when h=2, and p=90 when h=3. Which statement about the relationship is true?