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
ipn [44]
3 years ago
8

The Godari family is planning to build a new patio in their backyard. They haven’t decided how big it will be, but they know the

y don’t want a square patio. One of the family members, Arti, proposes that they define the relationship between the length and the width of the patio this way: the length of the patio will be 5 feet less than twice the width. That means she can represent the length by the expression 2w − 5, where w is the width of the patio. The potential dimensions of the patio are given in whole feet.
1. Is the relationship between the width and the length of the patio linear? Why or why not?

2. When graphing this relationship, what would be appropriate units and intervals to use along the x- and y-axes?

3. Some values of width are shown in the table. Find the corresponding length. Then analyze these values and explain why some of them would make sense in the scenario and others would not.
Width (w) 2 5 10 50
Length (2w − 5)
Analysis

Mathematics
1 answer:
ioda3 years ago
3 0

Let the letter l represent the length of the patio. From the question we already know that the relationship between the length and the width (w) of the patio are:

l=2w-5

1. The relationship between the width and the length is linear because it involves only the power/exponent of 1. In other words, l is raised to the power 1 and w too is raised to the power of 1 in the equation l=2w-5.

2. Because both the width and the length are in feet, when graphing this relationship, the appropriate units would be feet.

We may take 1 cm to be 1 ft in both the x and the y axes.

3. For this part a table has been attached.

As can be seen from the table, width of 2 ft gives us length to be -1 ft and that is an absurdity.

Width of 10 ft gives a length of 15 ft which does make sense and that is acceptable because we do not want a square patio and means width and length should not be the same. Same is the analysis for width of 50 feet. We get the length to be 95 feet. Again, the patio will not be a square but a rectangle as is the requirement.

Thus, for widths of 10 and 50 only is the Godari Family's patio possible from the given data and the given relationship between the length and the width.

You might be interested in
Julie rides her bike form the sports complex to school. the she rides from the school to the mall, and then to the library. kyle
Svetllana [295]
Between the two persons presented above, Julie had ridden farther. This is because from the routes she had taken, she would be covering greater distance compared to Kyle. Julie still ad to ride from the complex to school. 
6 0
3 years ago
Read 2 more answers
Evaluate (8+2)³-6?<br> Please help
tatiyna

Answer:

994 :)

Step-by-step explanation:

PEMDAS

(8+2)^3 - 6

(10)^3   = 10 x 10 x 10

1,000    - 6

994

3 0
2 years ago
Which expression gives the distance between the points (2,5) and (-4,8)?
inessss [21]
Square root of (5-9)^2+(1+6)^2
6 0
3 years ago
PLEASE I NEED HELP!!! A triangle in the coordinate plane has coordinates of (3,5), (1,-3), and (-3, 4). It is translated so that
rodikova [14]
A) it moved left 2, so -2, and up 2
5 0
3 years ago
Which describes the correlation shown?
VladimirAG [237]
<h2>Answer:</h2>

The correlation that is shown in the scatter plot is:

         Strong positive.

<h2>Step-by-step explanation:</h2>

From the scatter plot we see that with the increase of one variable the second variable also increases.

Hence, the association is positive.

Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.

            Hence, the correlation is:

               Strong positive.

( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)

3 0
3 years ago
Read 2 more answers
Other questions:
  • A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first fou
    8·1 answer
  • The area of a circle with a diameter of 240 mm is?
    7·2 answers
  • A cereal box has a height of 32 cm. The base has 160 square cm what is the volume in cubic cm of the box
    9·2 answers
  • 11 divided by 23.11=
    8·1 answer
  • A reflection of shape I across the y-axis, followed by a ( )
    15·2 answers
  • Q÷ 6 = 4 plzzzz helppp I need answerss ASAP
    14·1 answer
  • What is the result of adding these two equations?<br> 5x - y = 6<br> - 2x + y = 8
    14·1 answer
  • The difference of y and 8.1 is 20.<br> Flnd the value of y.
    8·1 answer
  • 8.8 more than the quotient of five and X
    14·1 answer
  • Does anyone know evaluate version
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!