Reuben buys cases of juice boxes. The table below shows the relationship between the number of cases C and the amount of juice J (in liters) purchased.
Number of cases 0 1 2 3
Amount of juice
(liters) 0 8 16 24
(a)For the information in the table, write an equation to represent the relationship between C and J.
(b)Choose the correct statement to represent this relationship.
There are 1/8 liters of juice per case.
There is 1 liter of juice per case.
There is 1 liter of juice per 8 cases.
There are 8 liters of juice per case.
(a) The equation to represent the relationship between C and J is J = 8C.
(b) The correct statement to represent this relationship is: There is 8 liters of juice per case.
(a) To represent the relationship between C (number of cases) and J (amount of juice in liters), we can observe that for every case bought, 8 liters of juice are purchased.
Therefore, the equation that represents this relationship is:
J = 8C
(b) The correct statement to represent this relationship is:
There is 1 liter of juice per case.
(a) To write an equation to represent the relationship between C and J, we need to find a pattern or formula that relates the number of cases to the amount of juice. Looking at the table, we can see that for each case purchased, there are 8 liters of juice. So, the equation to represent this relationship is:
J = 8C
(b) From the equation J = 8C, we can deduce that there is 1 liter of juice per 8 cases. Therefore, the correct statement to represent this relationship is:
There is 1 liter of juice per 8 cases.