Answer:
A) 952 insects are in the original colony
B) 10494 insects are in the colony after 20 weeks
C) 25 weeks
Explanations:
The model representing the population of the species of insects
An exponential growth is of the form:
where P₀ is the original population
t is the time taken in weeks
Comparing the two equations:
952 insects are in the original colony
B. The number of insects that will be in the colony after 20 weeks
Substituting t = 20 into the function given
C) If the population, P = 20000
Answer:
$2.75
Step-by-step explanation:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
1. x = 3, y = 2
2. x = -99/68, y = -14/17
3. x = -4, y = 1
4. x = 1, y = 5
5. x = -1, y = 0
6. x = 2, y = -3
7. x = 14, y = 20
I attached the pictures with the work.
<h3>
1. Compare Functions B and L by determining which one has the greater rate of change.</h3>
The rate of change is expressed as the ratio between a change in one variable relative to a corresponding change in another. On the other hand, a linear function is given as the form:
And 
is the rate of change we are looking for. For Function B we have a Table and the slope can be found by choosing two points, therefore:
As you can see 
has a rate of change of 6 while the function of the table has a rate of change of 3.
<em> In conclusion,</em> <em>has the greater rate of change</em>
<h3>
2. which one has a greater y-intercept?</h3>
We need to get the equation that rules the points given on the table. Two-Point Form of the Equation of a Line is:
As you can see has a y-intercept of 
while the function of the table has a y-intercept of 
<em> In conclusion,</em> <em>also has the greater y-intercept</em>
Answer:
24 inches
Step-by-step explanation:
a square has 4 equal sides. if one side is 6, the rest of the sides are also six. perimeter is all the sides added. so 6+6+6+6, or 6*4, equals 24 inches as perimeter.
