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The estimated population, if the rate is a growth rate is 34696 populations
The estimated population, if the rate is a decline rate is 5657 populations
<h3> Exponential functions</h3>
The standard exponential equation is expressed as 
where;
- a is the intercept
- b is the growth rate
- x is the time taken
If the initial population is 15,000 with a rate of 15%, then;
a) If the rate is a growth rate, the estimated population will be expressed as;

The estimated population, if the rate is a decline rate is 34696 populations
b) If the rate is a decline rate, the estimated population will be expressed as;

The estimated population, if the rate is a decline rate is 5657 populations
Learn more on exponential function here: brainly.com/question/12940982
A hyperbola with a center at (0, 0) can be defined as x²/a² − y²/b² = ±1.<span>
</span>The statement "<span>The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" </span>is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.
Samantha would make 36 bracelets in 6 hours, while Payton would make 30 bracelets in 6 hours. This means the difference in the number of bracelets they would make in 6 hours is 6 bracelets.
Answer:
A) (4,1) C) (12,3) D) (20,5)
Step-by-step explanation:
Required
Which has a constant of proportionality of 1/4
To solve this, we make use of:

Where k is the constant of proportionality.
Solve for x

<u>Testing the given options</u>
A) (4,1)


B) (8,12)



C) (12,3)



D) (20,5)



E) (12,6)


