The data represents a proportional relationship because the number of salt granules (g) is directly proportional to the height of the salt shaker (h). The correct equation is C.
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The provided data exhibits a proportional relationship between the height of the salt shaker and the number of salt granules it holds. As the height increases, the number of granules also increases in a consistent ratio.
The correct equation that models this relationship is
, where h represents the height of the salt shaker, and g represents the number of salt granules. This equation reflects the proportional nature, indicating that for every unit increase in height, 200 salt granules are added. Thus, the data represents a proportional relationship, and option c
accurately models this association.
The complete question is:
A salt shaker company produces salt shakers of varying heights. They create a table showing how many salt granules each size salt shaker holds. Does this data represent a proportional relationship? Click on the correct response, then answer the question below.
Height of Salt Shaker Number of Salt Granules
1 inch 200 granules
2 inches 400 granules
3 inches 600 granules
4 inches 800 granules
proportional
not proportional
Which of the following equations models this relationship?
a. h
100 = g
b. h
4 = g
c. h
200 = g
d. h
2=g