1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
victus00 [196]
3 years ago
5

I need help with letters (D) and (E). My model equation from letter (C) is: P = -55/4 t+ 340.

Mathematics
1 answer:
IceJOKER [234]3 years ago
8 0

Answer:

(a) The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope is m = -55/4

The slope means the rate of decreases of the owl population was 55/4

per year (P decreased by 55/4 each year)

(c) The model equation is P = -55/4 t + 340

(d) The owl population in 2022 will be 216

(e)  At year 2038 will be no more owl in the park

Step-by-step explanation:

* Lets explain how to solve the problem

- The owl population in 2013 was measured to be 340

- In 2017 the owl population was measured again to be 285

- The owl population is P and the time is t where t measure the numbers

 of years since 2013

(a) Let t represented by the x-coordinates of the order pairs and P

   represented by the y-coordinates of the order pairs

∵ t is measured since 2013

∴ At 2013 ⇒ t = 0

∵ The population P in 2013 was 340

∴ The first order pair is (0 , 340)

∵ The time from 2013 to 2013 = 2017 - 2013 = 4 years

∴ At 2017 ⇒ t = 4

∵ The population at 2017 is 285

∴ The second order pair is (4 , 285)

* The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope of any lines whose endpoints are (x1 , y1) and (x2 , y2)

     is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ (x1 , y1) is (0 , 340) and (x2 , y2) is (4 , 285)

∴ x1 = 0 , x2 = 4 and y1 = 340 , y2 = 285

∴ m = \frac{285-340}{4-0}=\frac{-55}{4}

* The slope is m = -55/4

∵ The slope is negative value

∴ The relation is decreasing

* The slope means the rate of decreases of the owl population was

  55/4 per year (<em>P decreased by 55/4 each year</em>)

(c) The linear equation form is y = mx + c, where m is the slope and c is

    the value of y when x = 0

∵ The population is P and represented by y

∵ The time is t and represented by t

∴ P = mt + c , c is the initial amount of population

∵ m = -55/4

∵ The initial amount of the population is 340

∴ P = -55/4 t + 340

* The model equation is P = -55/4 t + 340

(d) Lets calculate the time from 2013 to 2022

∵ t = 2022 - 2013 = 9 years

∵ P = -55/4 t + 340

∴ P = -55/4 (9) + 340 = 216.25 ≅ 216

* The owl population in 2022 will be 216

(e) If the model is accurate , then the owl population be be zero after

    t years

∵ P = -55/4 t + 340

∵ P = 0

∴ 0 = -55/4 t + 340

- Add 55/4 t to both sides

∴ 55/4 t = 340

- Multiply both sides by 4

∴ 55 t = 1360

- Divide both sides by 55

∴ t = 24.7 ≅ 25 years

- To find the year add 25 years to 2013

∵ 2013 + 25 = 2038

* At year 2038 will be no more owl in the park

You might be interested in
Somebody please help me out quick ??
scoundrel [369]
38 i think is correct

6 0
3 years ago
Read 2 more answers
Ms. McNeil buys 2.4 gallons of gasoline. the total cost is $7.56. Write and solve an equation to find the price p in dollars of
tino4ka555 [31]
If you know the whole price for 2.4 gallons, divide the whole price by 2.4 to get the cost for one, because when you multiply the cost for 1 by 2.4, you get the total. 

7.56/2.4 = 3.15, 

p= 3.15
6 0
3 years ago
Write an algebraic expression to represent each statement<br> 50 added to half of a number, c
Fittoniya [83]

The expression represented by 50 added to half of a number, c is 50 + c/2

<h3>What are expressions?</h3>

Expressions are mathematical statements that are represented by variables, coefficients and operators

<h3>How to translate the algebraic expression?</h3>

The expression is given as

50 added to half of a number, c

half of a number, c means divide c by 2

So, we have

50 added to half of a number, c  => 50 added to c/2

Added to means +

So, we have

50 added to half of a number, c  => 50 + c/2

Hence, the expression represented by the statement is  50 + c/2

Read more about expressions at

brainly.com/question/22019327

#SPJ1

7 0
1 year ago
Can someone please help me?
koban [17]

Answer:

The X intercepts= 1 and -1

The y= -1

Step-by-step explanation:

It's where the line meets the axis.

7 0
3 years ago
Pleaseeee help ASAP rocky!!!
Georgia [21]

Answer:E

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • The graph of g(x) = (1/2)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
    14·2 answers
  • Need to know the answer to the problem
    5·1 answer
  • What is the value of x? x−16=8 Enter your answer in the box in simplest form.
    14·2 answers
  • A consulting firm submitted a bid for a large research project. The firm’s management
    12·1 answer
  • Does 8 have more factors than 9?
    8·2 answers
  • What is. . .<br> 7/9 + 5/6 · 1/3
    15·2 answers
  • Number 9 on my integrated geometry test
    5·1 answer
  • R-(-4x - (y + y)); use x = -4, and y = -3 evaluate ​
    13·1 answer
  • 2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
    5·1 answer
  • A certain recipe calls for 3 tablespoons of an ingredient in 22 fl oz of liquid. How
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!