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
MAVERICK [17]
2 years ago
6

3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre

es per acre is 100. For each additional tree over 100, the average yield per tree decreases by 1.
a. What would be the average yield per tree if the number of trees per acre was doubled? What would be the total yield in that case?
b. How many trees should be planted per acre to maximize the total yield?
Mathematics
1 answer:
g100num [7]2 years ago
3 0

Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

You might be interested in
9d + 10c<br> how many terms are in this expression
bogdanovich [222]

Answer:

I think 2

Step-by-step explanation:

6 0
3 years ago
Jose will travel 268 km with his family this weekend. How many miles will he travel? Round to the nearest hundredth.
Vinil7 [7]
I think its 200 as if you convert to miles it's 166.527 and rounded to nearest hundredth is 200
8 0
3 years ago
What will it cost to carpet a rectangular floor measuring 21 feet by 12 feet if the carpet costs $29.56 per square yard?
Slav-nsk [51]

change the units to yards

21/3 = 7 yds

12/3 = 4 yds

A= 7*4 = 28 yds

cost = 29.56 * 28 = 827.68

the total cost is $827.68

6 0
3 years ago
A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function comp
dem82 [27]

It has the same slope and the same y-intercept, that is, <u>option a</u> is the right choice.

A linear function in the slope-intercept is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept.

We are given two linear functions and are asked to compare them.

<u>First </u><u>linear function:</u>

Slope (m) = -7/9.

y-intercept (b) = 3.

Therefore, the linear function is: y = (-7/9)x + 3.

<u>Second </u><u>linear function</u>:

Function given: y + 11 = (-7/9)(x - 18)

or, y + 11 = (-7/9)x + (-7/9)(-18)

or, y = (-7/9)x + 14 - 11 = (-7/9)x + 3.

Therefore, slope (m) = (-7/9)

y-intercept (b) = 3.

Therefore, we can say that it has the same slope and the same y-intercept, that is, <u>option a</u> is the right choice.

Learn more about linear functions at

brainly.com/question/15602982

#SPJ10

7 0
2 years ago
each pack of sugar free gum at a store cost $0.89 including tax if Evan pays $10.00 and receives $0.21 in change how many packs
babunello [35]

Answer:

12

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Which best summarizes the Pythagorean Theorem?
    11·1 answer
  • The Jones family is landscaping their yard. Their yard yard is 160 square feet and one side is 10 feet long. What is the length
    15·1 answer
  • Find the GCF (greatest common factor) of 84 and 36. Be sure to show your work. Then, using complete sentences, explain what your
    6·2 answers
  • Six friends each use a $2-off coupon to buy themselves a movie ticket. They spend a total of $42. What is the price of one movie
    10·2 answers
  • In the diagram, angle abc is a right angle. Find the value of x<br><br> Show full working out pls ty
    15·1 answer
  • There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. F
    11·1 answer
  • A gym charges $25 per month plus extra four dollars to swim in a pool for an hour if a member only has $45 to spend each month a
    12·1 answer
  • A car travels 420 miles in 7 hours. If the rate remains the same, how far does it travel in 11 hours?
    6·1 answer
  • How much time has<br> Passed from 6:25.Am<br> Unitil 10:25 pm
    9·1 answer
  • Which of the following expressions represent 15% tip on a $20 meal? Which represents the total bill? **Select all that apply**.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!