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
Brut [27]
3 years ago
13

The amount of time it takes to cook a turkey increases with the weight of the turkey. it is recommended that you cook a 10-lb tu

rkey for 3 hours. An extra 12 minutes of cooking time is necessary for each traditional pound of turkey. Is the cooking time proportional to the weigh of the turkey

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

<u>Answer- </u>

Cooking time is direct proportional to the weigh of the turkey.

<u>Solution- </u>

Time taken to cook a 10 lb turkey is 3 hours. The amount of time it takes to cook a turkey increases with the weight of the turkey. For an extra one pound of turkey it takes 12 minutes more.  

Taking the independent variable turkey weight in x-axis and dependent variable time in y-axis, a plot can be produced.

As shown in the figure, the line obtained from the data is a straight line.

So, Weight and Time are in direct proportion.  

Otherwise we can also check the relationship by comparing the slopes.

So, the data points are,

(x,y) = (10,180), (11,192), (12,204), (13,216), (14,228)

In order to be on a line all slopes between the points must be same.

Calculating the slope between (10,180), (11,192)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}} =\frac{192-180}{11-10}=12

Calculating the slope between  (11,192), (12,204)

m=\frac{y_{2}-y_{1}}{x_{2}-x_{2}} =\frac{204-192}{12-11}=12

As the slopes are same, so these three points are in a straight line. Hence, they are in a direct relationship.



nadezda [96]3 years ago
3 0
Answer:
The weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Explanation:
1- Direct proportional means that when the weight of the turkey increases, the time required to cook it increase with the same amount, and vice versa
2- Inverse proportional means that when the weight of the turkey increases, the time required to cook it decrease, and vice versa
2- No proportionality relation means that the two are not related to each other.

Now, for the given problem, we are given that:
i. 10lb turkey takes 3 hours to cook
ii. an additional 12 minutes is added for every extra 1lb of turkey

Therefore:
If we have 10lb turkey ......> time required = 3 hr
If we have 11lb turkey .......> time required = 3 hr + 12 min
If we have 12lb turkey .......> time required = 3 hr + 12 min + 12 min
If we have 13lb turkey .......> time required = 3 hr + 12 min + 12 min + 12 min
Noticing the pattern, we can find that:
time required to cook the turkey increases as the weight of the turkey increases but not at the same rate.
This means that when the weight of the turkey is doubled, the time increases, however, it is not doubled.
This means that the weight of the turkey is related linearly to the time taken to cook it, however, they are not proportional to each other.

Hope this helps :)



You might be interested in
Are lines GH and G'H' perpendicular? Why or why not? Yes, they intersect at one point. Yes, their slopes are negative reciprocal
Solnce55 [7]

Answer:

Step-by-step explanation:

B yes their slopes are negative reciprocals

3 0
3 years ago
Every day Jack runs 3 km a) Find out how far he runs in 4 weeks​
Dafna1 [17]

Answer:

84 km

Step-by-step explanation:

you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km

7 0
2 years ago
Write an equation in slope-intercept form from the points (0, 3) and (-4,-1)
Bezzdna [24]

Answer:

y = x + 3

Step-by-step explanation:

Slope-intercept form is represented by the formula y = mx + b. We can write an equation in point-slope form first, then convert it to that form.

1) First, find the slope of the line. Use the slope formula  m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points into it. Then, simplify to find the slope, or m:

m = \frac{(-1)-(3)}{(-4)-(0)} \\m = \frac{-1-3}{-4-0} \\m = \frac{-4}{-4} \\m = 1

Thus, the slope of the line must be 1.

2) Now, since we know a point the line intersects and its slope, use the point-slope formula y-y_1=m(x-x_1) and substitute values for m, x_1, and y_1. From there, we can convert the equation into slope-intercept form.

Since m represents the slope, substitute 1 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

y-3=1(x-0)\\y-3 = x\\y = x + 3

8 0
2 years ago
AB = 2x-5 BC = 6x AC = 27
OlgaM077 [116]

Answer:

correct answer is x = 2.75

Step-by-step explanation:

Given;

AB = 2x-5

BC = 6x

AC = 27

Hence,

=> AC = AB + BC

=> 27 = 2x-5 + 6x

=> 27 = 8x-5

=> 27-5 = 8x

=> 22 = 8x

=> 22/8 = x

=> 11/4 = x

or

2.75 = x

3 0
2 years ago
PLEASE HELP!!!!
tresset_1 [31]

Answer:

D

Step-by-step explanation:

y_2 - y_1 / x_2 - x _1

4 - 2 / 3 - (-1) = 2/4 = 1/2

y +4 = 1/2 (x + 3) distributive property

y + 4 = 1/2x + 1.5

y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)

therefore your equation is y = 1/2x - 5/2

hope this helps :)

7 0
2 years ago
Other questions:
  • A student earned a grade of 80% on a math test that had 20 problems . How many did he get right?
    7·2 answers
  • What number times it self 3 times equals 729
    12·1 answer
  • Whoshand was bigger 0.17 m or 0.165 m
    14·1 answer
  • Honest answers please. I need to know how to do it.
    8·2 answers
  • What could I have dropped?<br> A. my croissant<br> b. my phone<br> c. mountain dew
    8·1 answer
  • Solve<br> y = -22t² when t = 5<br><br> If you show your work I will give you branist
    12·1 answer
  • Help asap please need answer
    7·2 answers
  • A cylindrical tin has a radius of 3 cm. What is the shortes length of a string that can be wound once round the curved surface o
    6·1 answer
  • Solve for t.<br><br> - 5 t ≥ 70
    6·1 answer
  • Please will mark as brainleist will show work
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!