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Salsk061 [2.6K]
3 years ago
9

it's asking me to find an equation for the line I drew but I don't know how, and I'm not even sure if my line is correct.

Mathematics
2 answers:
vovangra [49]3 years ago
8 0
Your line is wrong from the start. But for the equation:
y =  \frac{15}{2} x
miskamm [114]3 years ago
3 0

This sort of problem doesn't have one right answer. All that is required is that your answer be consistent: the line and the equation should match, and should be "reasonably close" to the data.

Your graph is a bit funny in that most vertical squares are marked as representing 10 units, but the first one is marked as 5. That's OK if you consider zero to be in the middle of the first square the way multiples of 10 are in the middle of squares above that. Most folks would expect the squares to be labeled 0 (at the bottom), then 10, 20, 30, and so on.

If you look at the first two data points, they are proportional with a slope of 15/2 = 30/4. However, the next two data points are not. It looks like you have drawn your line (and it should be a straight line—as with a ruler) through the first and last data points. If so, you can use those two points to find the equation.

The slope between them is ...

... (difference of y-values)/(difference of x-values) = (65 -15)/(8 -2) = 50/6 = 25/3

Then, the point-slope form of the equation of a line can be used. For slope m, the line through point (h, k) can be written as

... y = m(x -h) +k

If you use the first point and the slope calculated above, this becomes

... y = (25/3)(x -2) +15

... y = (25/3)x -(5/3) . . . . simplified

where y is the breaking weight in pennies and x is the number of layers.

_____

You will note that this line has a negative y-intercept. That is, a bridge with 0 layers is broken already. Of course, a bridge with 0 layers does not exist, so the domain of your equation would be for 2–8 layers (or so—covering the data you have, and maybe allowing for a little extrapolation).

Another way to draw the line is to give it a slope that matches the slope between the first two points and the last two points (y-difference of 15 for x-difference of 2), but has a slight positive offset to better match the last two points at the expense of matching the first two points. Such a line might have the equation

... y = (15/2)x +(5/2)

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Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch s
Gnoma [55]

Part I: Scale Drawing

<span>Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.</span>

 a) Scale Factor: 1 in/ 2 ft 

Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio

b) see the picture attached

Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft

<span><span>c) What are the dimensions of Mrs. Johnson’s patio? </span>
</span>the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft

<span><span>d) Calculate the area of Mrs. Johnson’s patio.  Show all work.  
</span> </span>
area of the square=b²
where b is the length side of the square
b=10 ft
so
Area=10²-----> area =100 ft²

<span><span>e) How many pavers will be needed?  Show all work. </span>
</span>
we know that
1 paver is 16 in x 16 in dimensions
convert to ft
1 ft----------->12 in
x ft-----------> 16 in
x=16/12-----> x=4/3 ft
so
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  100 ft²
x=100/(16/9)------> x=100*9/16-----> x=56.25 pavers

if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
5 boxes of pavers will be needed 

<span><span>f) What will it cost to build the patio?  Show all work. 
 </span> </span>
the cost of one box is--------> $99.99
5 boxes-----------> x
x=5*$99.99------>x=$499.95

the cost to build the patio is $499.95

Part II: Bigger Design

<span>There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”</span>

 

<span>a) What would be the new dimensions of Mrs. Johnson’s patio?
</span>the new  dimensions of Mrs. Johnson’s patio are 20 ft x 20 ft

<span>b) Calculate the new area of Mrs. Johnson’s patio.  Show all work.
</span>area of the square=b²
where b is the length side of the square
b=20 ft
so 
Area=20²-----> area =400 ft²<span>  
</span>
<span><span>c) How many pavers will be needed for the new design?  Show all work.
</span> </span>
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  400 ft²
x=400/(16/9)------> x=400*9/16-----> x=225 pavers

if one box --------------> 12 pavers
x box---------> 225 pavers
x=225/12-----> x=18.75 box-------> x=19 boxes
19 boxes of pavers will be needed 

<span>d) What will it cost to build the bigger patio?  Show all work. 
</span>the cost of one box is--------> $99.99
19 boxes-----------> x
x=19*$99.99------>x=$1899.81
the cost to build the bigger patio is $1899.81

<span><span>e) Is Khianna right?  Will doubling the size of the patio, double the cost?</span>
</span>
<span>Khianna is wrong to double the dimensions the cost quadruples</span>

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3 years ago
What is the coefficient in the term k?<br> A.0<br> B.1<br> C.2<br> D.k
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9514 1404 393

Answer:

  1

Step-by-step explanation:

The constant multiplier of k in the term "k" is 1.

The coefficient is 1.

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2 years ago
A 14.4-inch poster is ruled in 9 columns of equal width. How wide is each column?
konstantin123 [22]

14.4 inches / 9 = 1.6 inches

Each column is 1.6 in wide

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What is equivalent to 1/4? 2/8, 1/3, 2/8, or 1/2
PolarNik [594]
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7 0
3 years ago
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Flo sets a goal of walking 12,000 total steps per day. flo's normal routine involves walking 6,000 steps per day. if flo walks 1
Oksana_A [137]

She has to walk 60 minutes more to reach her goal.

Given: Flo sets a goal of walking 12,000 total steps per day. Flo's normal routine involves walking 6,000 steps per day.

To find: To Determine how many extra minutes should she walk per day beyond her normal routine?

Formula: Number of extra minutes = she walks per day beyond her normal routine / number of steps per minute

flo's normal routine involves walking steps per day= 6,000

If flo walks 100 steps per minute:

she walks per day beyond her normal routine = 12000-6000

                                                                             = 6000

Extra minutes = \frac{6000}{100}

                       = 60 minutes

Therefore, she has to walk 60 minutes more to reach her goal.

Learn more about time and distance here brainly.com/question/24283318

#SPJ4

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