The number of jars of applesauce Gary makes is directly proportional to the number of hours he works. Gary makes $72$ jars of applesauce in $8$ hours. Graph a line on the coordinate plane below that represents the relationship between the number of jars of applesauce Gary makes and the number of hours he works.

Select two points on the coordinate plane. A line will be drawn through the points you selected.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.

The length of a rectangular board is 3 feet less than twice its width. a second rectangular board is such that each of its dimensions is the reciprocal of the corresponding dimensions of the first rectangular board. if the perimeter of the second board is one-fifth the perimeter of the first, what is the perimeter of the first rectangular board?