Mathematics High School

The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of variation in this scenario?

Answers

Answer 1

Answer: 16 acres

Step-by-step explanation: we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

Answer 2
the answer is 16 acres

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

x ----> the number of acres

y ---> total operating costs

we have the ordered pair (20,551,520)

For x=20 acres, y=$551,520

Find the value of the constant of proportionality k

substitute the values of x and y

The linear equation is equal to

Find out how many acres are on a farm with a total operating cost of $441,216

so

For y=$441,216

substitute in the linear equation the value of y and solve for x

Step-by-step explanation:

Related Questions

I will mark. so please I WANT AN A+!!!!!

Answers

Answer:

-4.5, -3 1/2, -3, -2.5, 4 1/2

Step-by-step explanation:

the higher the numbers as a negative, the smaller they are! :)

Answer:

from least to greatest

Step-by-step explanation:

1. -4.5

2.-3 1/2

3. -3

4.-2.5

5. 4 1/2

HAVE A NICE DAY HOPE U GET A A+

1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5

Answers

Answer:1/5

Step-by-step explanation:

Two and ten divided by two equals 1 and 5 so 1/5

h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4​

Answers

Answer:

-28

Step-by-step explanation:

h(4)=-2(4)^2+4

-32+4=-28

What is the slope of this line?


−3

3/4

4

−3/4
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair

Answers

3/4 I think cuz it’s 3/4
-3/4 negative slope with -6/8 which is equivalent to -3/4

The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation

Answers

Answer:

8

Step-by-step explanation:

The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.

Constant of proportionality = [tex] \frac{E}{h} [/tex]

From the graph given, when h = 5, E = 40.

Therefore:

Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]

how to divide 2432.5 by ten

Answers

Answer: 243.25.

Step-by-step explanation: To divide by ten is to move the decimal point one digit to the left. Thus, 2432.5/10 is 243.25.

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

X=52 because alternate interior angles

A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.

Answers

Answer:

$24147.50

Step-by-step explanation:

Step one:

given

principal=$7420

rate = 5.9%= 0.059

time = 20years

Step two:

Required

Final amount V

using the relation

[tex]V = Pe^{rt}[/tex]

Substituting we have

[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]

To the nearest cent

= $24147.50

The amount of money in the account after 20 years is $24147.50

If A= 1, Be= 7, then ADD=?

Answers

Answer:

D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D

5 divided by 4= 25 divided by x

wHAT IS X

Answers

Answer:

x=20

Step-by-step explanation:

so 5/4 is 1.25

so 25/x=1.25

so to find x we do 25/1.25

when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right

Answer:

yeet

Step-by-step explanation:

What is the Reciprocal of 5/12

Answers

Answer:

12/5 just flip the numbers :D

Step-by-step explanation:

What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x

Answers

Where is the model??

7. 30 minutes to jog 3 miles; 50 minutes to jog 5 miles

Answers

Answer:

What’s the question?

Step-by-step explanation:

Alan bought a desk on sale for $589. This price was 24% less than the original price. What was the original price?​

Answers

Answer:

448$

Step-by-step explanation:

100-24/100×589$

76/100×$589

divide 76 by 100 and multiple with the price which is 589$

when 76 is divided=0.76

now we multiple 0.76times 589$

please an someone help me 5(−3.4k−7)+(3k+21)

Answers

Answer:

4

Step-by-step explanation:

Answer:

4.5k

Step-by-step explanation:

please help me out and answer this i need it ASAP <3​

Answers

Answer:

[tex]y-1=\frac{5}{6}\left(x+8\right)[/tex]

I hope this is good enough:

What is the value of 7m – 3n when m = 3 and n = 2?

O 5
O 15
O 24
O 36

Answers

Answer:

the answer is 15

Step-by-step explanation:

[tex]7(3) - 3(2) = 15[/tex]

Help!!! Quiz!! I think that the answer is A and B, but I’m not sure.
13 POINT!!!
Will mark brainliest for correct answer!!!

6x2 + 5x - 4 = 0

A. x= 1/2

B. x= -3/4

C. x= 1/3

D. x= 4

E. x= -2

F. x = -1/3

Answers

Answer:

E

Step-by-step explanation:

Hope this helped ;) Have a good day! :D

What is X-y=-1 written in y=mx+b form?

Answers

Answer:

y = x + 1

Step-by-step explanation:

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Answers

Answer:

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Step-by-step explanation:

Sady has $545, she want to buy a boyfriend he cost $1000 on Ebay how mush does she nee to buy him?

Answers

Answer:

Sady needs $455 more dollars

Step-by-step explanation:

1,000-545=455

PLSS ANSWER FAST
Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only $1.50.
a.) If that same dinner that Barnaby’s grandfather purchased for $1.50 sixty years ago now costs $25.25 , and the price has increased exponentially, write an equation that will give you the costs at different times.
b.)How much would you expect the same dinner to cost in 60 years?

Answers

Think this is right, let me know!

An equation that will give you the costs at different times is y = [tex]1.048^{t}[/tex].

The price of the dinner in 60 years will be $425.04.

What is the equation that represents the cost of the dinner?

An exponential function is usually in the form: [tex]ab^{x}[/tex].

Where:

a = initial value b = rate of growth x = number of years

Rate of increase = (cost of the meal now / cost of the meal 60 years ago)^(1 / number of years)

(25.25 / $1.50) ^(1/60) = 4.8%

y = [tex]1.048^{t}[/tex].

What will be the cost of the meal in 60 years?

25.25 x 1.048^60 = $425.04

To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ2

The line passing through the points (-2, 10) and (5, -11)

Answers

Answer:

y-intercept = (0, 4)

x-intercept = (3/4, 0)

Step-by-step explanation:

1 - Find the slope

[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]

2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.

y = mx + b

y = -3x + b

10 = (-3)(-2) + b

10 = 6 + b

-6   -6

4 = b

y-intercept = (0, 4)

3 - Rewrite the completed formula

y = -3x + 4

4 - Substitute 0 in for y to find the x-intercept

0 = -3x + 4

-4          - 4

-4 = -3x

-4/-3 = -3x/-3

 4/3 = x

x-intercept = (4/3, 0)

PLS I NEED HELP ANSWER WILL GIVE BRAINLIEST ANSWER BOTH QUESTIONS ONE AND TWO

Answers

I hope this is helpful

PLEASE PLEASE HELP!
The space shuttle travels at an orbital speed of 17,500 miles per hour. How many meters per minute is this?

Answers

Answer:

291.666666667

Step-by-step explanation:

one minute is 60 seconds

17500 divided by 60

291.666666667

17,500/60

60 sec = 1 min,

Need to find how many meters per minute and once you do that it should give you

291.6666667

y+2=−3(x−4)= whats the missing equation

Answers

I think x= -7 if I’m wrong my bad, good luck !

find the slope of the graph given below

Answers

Answer:

[tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Help me with this please

Answers

i believe they are all false

whats 9x8 greer I forgot

Answers

Answer:

72

Step-by-step explanation:

You can use the 9s trick

Answer:

9x8=72

Step-by-step explanation:

9x5=45        5

9x3=27         +3=9

27+45=72

Find the slope from the table:

Answers

Answer: m=-5/3

Step-by-step explanation:

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