answer.
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
shutvik [7]
2 years ago
12

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat

ion of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply. The function f(x) = 9,000(1.05)x represents the situation. The function f(x) = 9,000(0.95)x represents the situation. After 2 years, the farmer can estimate that there will be about 8,120 bees remaining. After 4 years, the farmer can estimate that there will be about 1,800 bees remaining. The domain values, in the context of the situation, are limited to whole numbers. The range values, in the context of the situation, are limited to whole numbers.
Mathematics
2 answers:
Akimi4 [234]2 years ago
5 0

The function f(x)=9,000(0.95)x represents the situation.

After years, the farmer can estimate that there will be about 8,120 bees remaining.

The range value, in the context of the situation, are limited to whole numbers.

vivado [14]2 years ago
3 0
Analysis to obtain the function that models the polulaiton ob bees:

1) First year 9,000 bees

2) Second year: decrease 5% => 9,000 - 0.05* 9,000 = 9,000 * (1 - 0.05) = 9,000 * 0.95

3) Every year the population decreases 5% => 9,000 * 0.95)^ (number of years)

4) if you call x the number of years, and f(x) the function that represents the number of bees, then: f(x) = 9,000 (0.95)^ x.

Analysis of the statements:

<span>1) The function f(x) = 9,000(1.05)x represents the situation.

FALSE: WE DETERMINED IT IS f(x) = 9,000 (0.95)^x

2) The function f(x) = 9,000(0.95)x represents the situation.

TRUE: THAT IS WHAT WE OBTAINED AS CONCLUSION OF THE PREVIOUS ANALYSIS.

3) After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.

Do the math:

f(2) = 9,000 * (0.95)^2 = 9,000 * 0,9025 = 8,122

So, the statement is TRUE

4) After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.

f(4) = 9,000 * (0.95)^4 = 9,000 * 0.81450625 = 7,330

So, the statement is FALSE

5) The domain values, in the context of the situation, are limited to whole numbers.

FALSE: THE DOMAIN VALUES ARE ALL NON NEGATIVE REAL VALUES. FOR EXAMPLE THE FUNCTION IS WELL DEFINED FOR X = 5 AND HALF

6) The range values, in the context of the situation, are limited to whole numbers.

TRUE: THERE CANNOT BE FRACTIONS OF BEES
</span>
You might be interested in
Olivia drives 90 miles in 2 hours. She drives 225 miles in 5 hours. She writes an equation in the form y=mx to represent the num
saul85 [17]

Answer:

y=270\textrm{ miles}

Step-by-step explanation:

Given:

Number of miles is represented by y and number of hours is represented by x.

The equation to show the relationship between x and y is y=mx

Now, for x=2,y=90

Plug in the above equation and solve for m. This gives,

90=m(2)\\m=\frac{90}{2}=45\textrm{ mi/h}

Hence, the equation is y=45x.

Now, if the line passes through (6,y), then x = 6.

So, y=45(6)=270\textrm{ miles}

Therefore, the value of y is 270 miles.

5 0
1 year ago
What is the appropriate metric unit for measuring the capacity of a water cooler?
vodomira [7]
The best way to measure a volume of this size in Liters. This is a metric unit. There are 1000 liters in one cubic meter.
7 0
2 years ago
Read 2 more answers
harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the
snow_lady [41]

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

7 0
2 years ago
If one lens increases the size of an image by $80\%$ and another increases the size by $50\%$ by what percent will the image be
son4ous [18]

Answer:

Step-by-step explanation

Look at it this way:

If you increase something by 80 percent, your multiplying it by 1.8. This goes the same way for 50 percent. If you multiply 1.8 by 1.5, you will get 2.7. Then convert 2.7 to increasing something by 170 percent. So the answer is 170 percent.

8 0
1 year ago
Read 2 more answers
Henry is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the h
Misha Larkins [42]

Answer:

the answer is 3.2 i think

4 0
2 years ago
Other questions:
  • During the three weeks how many customers came from zones 3 and 4
    5·1 answer
  • If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg
    15·2 answers
  • Write an expression so that the product of a whole number and a decimal is 0.28.
    6·2 answers
  • The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods
    13·2 answers
  • Consider the demand curve Qd = 150 - 2P and the supply curve Qs = 50 + 3P. What is total expenditure at equilibrium? Make sure t
    15·1 answer
  • A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio
    9·1 answer
  • The population of big cats in Africa is increasing at a rate of 5% per year. At the
    5·1 answer
  • charlotte owns two entertainment websites. Here are some details about those websites for one entire month: Website A Website B
    5·2 answers
  • On sports day at Lakewood middle school, gold, silver, and bronze medals were awarded to the top three finishers in each event M
    10·1 answer
  • Four points are labeled on the number line. P. Q. R. S. Which point represents the value of the absolute value of negative 1 ove
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!