fascinated by ocean life Hannah wants to put a saltwater aquarium in her bedroom she needs to make sure she buys a big enough tank to grow her collection over this table shows the relationship between the number kf fish in hannahs collection c and the snallest tank size y she needs to safetly jeep ger fish the table goes (2,18) (7,63) (8,73) and (10,90) is this a proportional relationship?

Question

fascinated by ocean life Hannah wants to put a saltwater aquarium in her bedroom she needs to make sure she buys a big enough tank to grow her collection over this table shows the relationship between the number kf fish in hannahs collection c and the snallest tank size y she needs to safetly jeep ger fish the table goes (2,18) (7,63) (8,73) and (10,90) is this a proportional relationship?

Answer 1

To determine if the relationship between the number of fish in Hannah's collection and the smallest tank size needed is proportional, we need to check if the ratios between the number of fish and tank size are equivalent for all data points.

Let's calculate the ratios for each data point:

For the first data point (2, 18):
Ratio = 18 / 2 = 9

For the second data point (7, 63):
Ratio = 63 / 7 = 9

For the third data point (8, 73):
Ratio = 73 / 8 = 9.125

For the fourth data point (10, 90):
Ratio = 90 / 10 = 9

Since the ratios are not equal for all data points, the relationship between the number of fish in Hannah's collection and the smallest tank size is not proportional.