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## Why does a constant growth rate produce a J-shaped curve Why does a constant growth rate produce a J-shaped curve because the population accumulates more new individuals per unit time when it is large than when it is small because the population accumulates more?

A constant rate of increase (r) for a population produces a growth curve that is J-shaped rather than straight line because the population accumulates more new individuals per unit of time, thus the curve gets progressively steeper over time.

## What is population describe S and J-shaped population growth curve?

S-shaped growth curve(sigmoid growth curve) A pattern of growth in which, in a new environment, the population density of an organism increases slowly initially, in a positive acceleration phase; then increases rapidly, approaching an exponential growth rate as in the J-shaped curve; but then declines in a negative …

## How do you calculate the growth rate of a population?

Population Growth Rate It is calculated by dividing the number of people added to a population in a year (Natural Increase + Net In-Migration) by the population size at the start of the year. If births equal deaths and there is zero net migration, the growth rate will be zero.

## How do you calculate continuous growth rate?

In order to find the continuous growth rate, we need to convert the model to the form P(t) = P0ekt. So, we need to solve for k in 1.042 = ek. Taking the natural log of both sides, we get k = ln(1.042) ≈ . 04114.

## What is the growth rate of an exponential function?

exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r.

## How does exponential growth appear on a graph quizlet?

The graph of exponential growth looks like the letter J (called a J-shaped curve) In this curve, the population increases rather slowly at first, but then accelerates. Nearly all populations will tend to grow exponentially as long as there are resources available.

## Which scenario represents exponential growth?

Answer Expert Verified The answer is C. The scenario that represent the exponential growth is no other that a species of fly doubles its population every month during the summer. Doubling is exponential.

## Which hourly interval has the greatest rate of change?

Which hourly interval had the greatest rate of change? (1) hour 0 to hour 1. The line is the steepest between 0 and 1 hour, which means is has the greatest slope, or the greatest rate of change. In the first hour, 2 miles were hiked, then only 1.5 miles, then 1 mile, then 0.5 miles.

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## Which situation can be modeled by a linear function?

Linear modeling can include population change, telephone call charges, the cost of renting a bike, weight management, or fundraising. A linear model includes the rate of change (m) and the initial amount, the y-intercept b .

## What is a real life example of a linear equation?

For example: If you pay 30 dollars a month for your cell phone and 10 cents per minute of usage the monthly cost of using your cell phone would be a linear equation of a function, C, the monthly cost based on the number of minutes you use monthly.

## What jobs use linear functions?

Careers using linear equations range from health care workers to store clerks and everything in between.

• Financial Analyst.
• Computer Programmer.
• Research Scientist.
• Professional Engineer.
• Resource Manager.
• Architect and Builder.
• Health Care Professional.

## What makes a problem linear?

When the maximum power of all variables in a term (added together) in an equation is 1 it is linear. When you have an equation with maximum power (added together in a term) of the variables not equal to 1, it is non-linear.

## What are the characteristics of linear functions?

Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

## Where are linear inequalities used in real life?

A system of linear inequalities is often used to determine the best solution to a problem. This solution could be as simple as determining how many of a product should be produced to maximize a profit or as complicated as determining the correct combination of drugs to give a patient.

## What is the use of linear inequalities?

A system of linear inequalities is often used to determine the maximum or minimum values of a situation with multiple constraints. For example, you might be determining how many of a product should be produced to maximize a profit.

## Is quadratic inequality useful in real life situations?

Answer. Answer: The quadratic inequalities used in knowing bounderies in a parabolic graph, the maxima and minima. Throwing a ball, firing and shooting a cannon, and hitting a baseball and golf ball are some examples of situations that can be modeled by quadratic functions.

2021-05-16