Question

A fishery is an area with the specific purpose of controlling fish populations
for commercial or recreational fishing. Population dynamics describe how a
fish population changs over time. The population is changed by birth, death,
and migration of fish. While the supply of fish (population growth) can be
modeled with a linear equation, so can the demand of fish (the amount caught).
In one commercial venture, fishermen recorded their daily catch in an ocean
fishery. Using their data, the demand model for the total number y of fish caught
for x days is y = 349x + 50. What is the meaning of the slope?

Answer 1

Using linear function concepts, it is found that the slope of 349 means that each day, the number of fish caught increases by 349.

A linear function is modeled by:

$y = mx + b$

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation for the number of fish caught after x days is given by:

$y = 349x + 50$

The slope is of 349, which means that each day, the number of fish caught increases by 349.

You can learn more about linear function concepts at https://brainly.com/question/16302622