1. Questions

PreCalc

Naturalists find that the populations of some kinds of predatory animals vary periodically. Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept when t = 0 years. A minimum number, 200 foxes, occured when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years

I have to find

Foxes are declared to be an endangered species when their population drops below 300. Between what two nonnegative values of "t" were foxes first endangered.

I found one to be about

6.71101496 years i don't know if this is one of the first two how do I deal and how do I find the other one?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
Jo

  1. In an earlier reply to this same problem to you I had established the equation to be
    F = 300sin(5pi/11)(t-4) + 500

    I had also shown that this equation satisfies all the data values you gave and it looks like you used it to get your value of 6.7 years.
    But remember that the sine is negative in the III and IV quadrants, so I also got a value of t = 7.889 yrs.
    Also recall that our period was 4.4, so subtracting 4.4 from any of our answers would produce another set of valid solutions.
    6.71 - 4.4 = 2.31
    7.889 - 4.4 = 3.49

    let's test this
    if t = 2.31, F = 300.3
    if t = 3.49, F = 300.3
    let's take a value between 2.31 and 3.49, how about t=3
    F = 203 , which is less than 300

    So the foxes were first endangered between the times of 2.3 years and 3.5 years.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    Reiny

  2. is this
    my brain cells are bout to explode

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    chalkboiiiiiii

Respond to this Question

First Name

Your Response

Similar Questions

  1. Biology

    1. Two species live in the same area but breed in different parts of their habitat. These species are A) geographically isolated. B) ecologically isolated. C) artificially isolated. D) likely to produce hybrids. 2. A large

  2. Pre Calc

    Naturalists findthat the populations of some kinds of predatory animals vary periodically. Assume that the population of foxes in a certain forext vareis sinusoidally iwth time. REcord started being kept when time t = 0 years. A

  3. math

    A store sells clothes for men. It has 3 kinds of jackets, 7 kinds of shirts, and 5 kinds of pants. Find the number ofways a person can buy: (a) one of the items; (b) one of each of the three kinds of clothes.

  4. biology

    A student is investigating the effect of light intensity on the rate of photosynthesis. She observes that as light intensity increases, the rate of photosynthesis increases. Which explanation best describes how the rate of

  1. Calculus

    Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the same initial populations. The growth rates of two rabbit populations are modeled as follows, where t =0 corresponds to the beginning

  2. English

    How is drama different from other kinds of fiction? A.Drama is written to be performed by actors for an audience. B.Drama can have only one setting. Other kinds of fiction can have many settings. C.Drama has a plot. Other kinds of

  3. statistics

    A restaurant menu has 5 kinds of soups, ten kinds of main courses, six kinds of desserts, and eight kinds of drinks. If a customer selects one item from each category, how many different outcomes are possible?

  4. math

    Carlin’s Pizza House offers 3 kinds of salad, 15 kinds of pizza, and 4 kinds of dessert. How many different threecourse meals can be ordered

  1. Lang arts

    1. How did ancient cultures pass down their beliefs and traditions? with attitudes through insight through ancestry with stories **** 2. What can be learned about the Yaqui culture from the folktale? how they felt about weather

  2. American Government

    Over time, what has been the trend of rural vs. urban population in the United States? a. The rural populations have developed extensive farmland to continue being essential. b. The rural populations have increased, and the urban

  3. statistics

    if we are testing for the difference between two populations, it is assumed that the two populations are approximately normal and have equal variances, true or false

  4. lang art

    1. Read the sentence from "Zoos: Joys or Jails?" What clue word is used to show contrast between the two points of view? "Although the circumstances and reasons for animals being in zoos vary, its concept has faults many don't

View more similar questions or ask a new question.