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1 year ago

A population is increasing 4% per year. Identify the growth factor that could be used to model the population.

Mathematics

1 answer:

polet [3.4K]1 year ago

5 0

The growth factor that could be used to model the population will be 1.04. Then the correct option is D.

<h3>What is an exponent?</h3>

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The population is increasing by 4% per year.

Then the growth factor that could be used to model the population will be

Growth factor = (1 + 4%)

Growth factor = (1 + 0.04)

Growth factor = 1.04

The growth factor that could be used to model the population will be 1.04.

Then the correct option is D.

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

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Ellie is placing an order for 5 tuna salads and 2 chicken salads. Each salad costs $8.50, including tax. What is the total cost

Karo-lina-s [1.5K]

Answer:

The total cost of the salad is $59.50

Step-by-step explanation:

If each salad irrespective of there type costs $8.50

and Ellie ordered 5 tuna and 2 chicken salad, that

5+2 = 7 salads

Then the total cost of the salad will be

7*8.50 = $59.50

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3 years ago

YESSSSS! WERE NOT OVER JUST YET I DONT UNDERSTAND THIS MUCH XD PLZ HELP I WILL MARK BRAINLIEST

WARRIOR [948]

Answer:

D) The expression equals 0

Step-by-step explanation:

-8 + 8 = 0

the negative and positive cancel eachother out

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2 years ago

Read 2 more answers

Lowest fraction using common term<br><br> 28/35

rjkz [21]

28/7=4
35/7=5
4/5
A: 4/5

3 0

3 years ago

Solve for h<br> -8 < -4h + 20

Vladimir [108]

Answer:

h < 7

Step-by-step explanation:

-8 < -4h + 20

4h < 28 / : 4

h < 7

5 0

3 years ago

Consider the equality xy k. Write the following inverse proportion: y is inversely proportional to x. When y = 12, x=5.

skelet666 [1.2K]

Answer:

$y=\dfrac {60} {x}$ or $xy=60$ (depending on your teacher's format preference)

Step-by-step explanation:

<h3><u>Proportionality background</u></h3>

Proportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")

There are two main types of proportionality/variation:

Direct
Inverse.

Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").

Below are several different examples of both types of proportionality, and how they might be stated in words:

$y=kx$ y is directly proportional to x
$y=kx^2$ y is directly proportional to x squared
$y=kx^3$ y is directly proportional to x cubed
$y=k\sqrt{x}}$ y is directly proportional to the square root of x
$y=\dfrac {k} {x}$ y is inversely proportional to x
$y=\dfrac {k} {x^2}$ y is inversely proportional to x squared

From these examples, we see that two things:

things that are <u>directly proportional</u> -- the thing is <u>multipli</u>ed to the constant of proportionality "k"
things that are <u>inversely proportional</u> -- the thing is <u>divide</u>d from the constant of proportionality "k".

<h3><u>Looking at our question</u></h3>

In our question, y is inversely proportional to x, so the equation we're looking at is the following $y=\dfrac {k} {x}$ .

It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."

We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:

<h3><u>Solving for k, and finding the general equation</u></h3>

General Inverse variation equation...

$y=\dfrac {k} {x}$

Substituting known values...

$(12)=\dfrac {k} {(5)}$

Multiplying both sides by 5...

$(12)*5= \left ( \dfrac {k} {5} \right ) *5$

Simplifying/arithmetic...

$60=k$

So, for our situation, k=60. So the inverse proportionality relationship equation for this situation is $y=\dfrac {60} {x}$ .

The way your question is phrased, they may prefer the form: $xy=60$

7 0

2 years ago