1/4 of players on every team are girls. write 3 fractions equivalent to 1/4
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An exponential function can either represent population growth or population decay
<h3>How to model the population</h3>The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.
However, the following is a general guide to solve the question.
An exponential function is represented as:
Where:
- (a) represent the initial value i.e. the initial population of the Western Lowland Gorillas
- (r) represents the rate at which the population increases or decreases.
- (x) represents the number of years since 2022
- (y) represents the population in x years
Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)
Take for instance:
By comparison.
a = 2000 and 1 - r = 0.98
The above function can be used to model the population of the Western Lowland Gorillas
Read more about exponential functions at:
Answer:
See explanation below
Step-by-step explanation:
<u>1. Arithmetic Sequence and Linear Functions</u>
An arithmetic sequence is defined as a sequence of numbers one that has a constant difference, also called common difference, between two adjacent terms. Therefore the rate of change in an arithmetic sequence is the same roughout the sequence.
<em>Example</em>: The sequence 2, 4, 6, 8, 10,.... is an arithmetic sequence where the common difference is 2
A linear function has a constant rate of change (slope). In that manner, both arithmetic sequences and linear functions are similar
However, while an arithmetic sequence is composed of discrete values, a linear function is continuous and can be described in the form of an equation y= mx + c where m is the slope(rate of change) and c the y value where the function intersects the y axis(i.e. x = 0)
<em>Example: </em>y = 2x + 2 is the equation of a linear function which has +2 slope and passes through the point (0,2) on the y axis
<u>1. Geometric Sequence and Exponential Functions</u>
A geometric sequence is a sequence of numbers where there is a common ratio between any two adjacent numbers. So to find the next number in a geometric sequence, multiply the previous number by the common ratio
For example, the following is a geometric sequence where the common ratio is 2
2, 4, 8, 16, 32, 64, 128, ...., .....
As you can see the numbers rise more rapidly as the sequence goes on. This type of grown is also called exponential growth. An exponential function also has a common ratio except that the function is continuous compared with a geometric sequence which has discrete values
For example, y = 2ˣ is an exponential function that doubles its value with every x value and is continuous (see graph below)
