Question

A biologist counted the number of two types of salmon (Atlantic and Black sea) at a dam. He used the table below to record the number of salmon on different days.Part A: The ratio of Alantic salmon to Black sea salmon is 2 to 5. If the ratio remained the same for the next 5 days, fill in the table below:

Answer 1

The ratio of Atlantic salmon to Black salmon is 2 to 5, that is:

2/5 = 0.4

There is a linear relationship between Atlantic and Black salmon, given by:

y = kx

where k is the constant of proportionality and equal to 0.4.

In order to complete the table, consider y as the Altantic sea salmon and x as the Black sea salmon.

For x = 20 (20 Black sea salmon) you obtain:

y = 0.4(20) = 8 Atlantic salmon

For y = 6 (6 Atlantic salmon), you solve for x:

x = y/k = 6/0.4 = 15

For y = 16

x = y/k = 16/0.4 = 40