Question

A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at the store. Fish 65 52 39 26 13 0 1 2 3 4 Fish Tanks 5 6 X The constant of proportionality shown in the graph in terms of the number of fish per fish tank is​

Answer 1

10.84.

Explanation:

To find the constant of proportionality, we can use the fact that the relationship between the number of fish and fish tanks is proportional. This means that the ratio of the number of fish to the number of fish tanks is always the same.

From the graph, we can see that when there are 65 fish, there are 5 fish tanks. When there are 52 fish, there are 6 fish tanks. Let's use these two data points to find the constant of proportionality:

The constant of proportionality = (Number of fish) / (Number of fish tanks)

For the first data point, we have:

65 / 5 = 13

For the second data point, we have:

52 / 6 = 8.67

We can see that these two values are not the same, which means that the relationship between the number of fish and the number of fish tanks is not exactly proportional. However, we can still find an average constant of proportionality between these two values:

(13 + 8.67) / 2 = 10.84

So the constant of proportionality, in terms of the number of fish per fish tank, is approximately 10.84.

Answer 2

13

Explanation:

if there are 5 tanks and 65 fish in all the tanks together, you take 65 and divide it by 5 to get 13 fish in each tank

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