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Ipatiy [6.2K]
3 years ago
15

The table represents the total miles traveled, y, after a number of hours, x. Hours, x Miles, y 2.5 150 4.0 240 5.5 330 7.0 420

Which linear equation represents the situation?
Mathematics
2 answers:
maw [93]3 years ago
7 0
(2.5,150)(4,240)
slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b
slope(m) = 60
(4,240)...x = 4 and y = 240
now we sub and find b, the y int
240 = 60(4) + b
240 = 240 + b
240 - 240 = b
0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==
Hatshy [7]3 years ago
6 0

Answer:

y = 60x is the required linear relation.

Step-by-step explanation:

We are given the following information in the question:

Hours(x):      2.5      4.0      5.5      7.0

Miles(y):      150      240     330     420

We need to find a linear equation that represents the above scenario.

The linear equation can be calculated with the help of two-point form of straight line give by:

(y-y_1) = \displaystyle\frac{y_2-y_1}{x_2-x_1}(x-x_1)

where, (x_1,y_1), (x_2,y_2) are points on line.

Putting the values

(x_1,y_1) = (2.5,150), (x_2,y_2) = (4,240)

(y-150) = \displaystyle\frac{240-150}{4-2.5}(x-2.5)\\\\(y-150) = \displaystyle\frac{90}{1.5}(x-2.5)\\\\1.5(y-150)=90(x-2.5)\\\\1.5y-225 = 90x-225\\1.5y = 90x\\y = 60x

y = 60x is the required linear relation.

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A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th
ValentinkaMS [17]

Answer:

A square

36 square yard.

Step-by-step explanation:

Given the following information:

W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)

So we need to graph those vertices and connect them in order.

(please have a look at the attached photo)

From the graph, it clear that the shape of the garden is a square.  

Then, we need to calculate the length of the four sides

<u>Find the length of the side YZ. </u>

The length of side YZ  =  3 + 3  =  6 yards  because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate

<u>Find the length of the side WZ.</u>

The length of side WZ  =  3 + 3  =  6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate

=> the area of the square WXYZ:

= YZ*WZ

= 6*6

= 36 square yard.

7 0
3 years ago
-x = -6 <br> please help me
Rasek [7]

Answer:

The answer would be positive 6

Step-by-step explanation:

I know it is -6 because when you solve this you do...

-x = -6

Divide both sides by -6

-x/-6 = -6/-6

the answer would be 6

because a negative divided by a negative is a positive.

Hope this helps have a great day! :)

6 0
3 years ago
Need help with this question , pls help
notka56 [123]

Answer:

A = 80g B = 200g

Step-by-step explanation for A:

First, you would find what the serving size is divided by to get the number of people needed to feed 6/3 = 2. Then take that number (3) and divided it by the fish (240g) to get 240/3 = 80.

Step-by-step explanation for B:

You will first need to find how much butter goes into ONE pie by dividing 80 by 6 which is 1.33333333333333. Then do 1.333333333333333 times the number of people to feed (15) to get 200.

8 0
2 years ago
3.) Find the domain and range for each of the following functions.
Delvig [45]
Domain is x’s and range is y’s.

For a, the domain is -2<=x<1
For a, the range is 1<=y<2

For b, the domain is 1<=x<=2
For b, the range is -2<=y<=2

(The <= is the ones with a line under, meaning equal to, if that makes sense. So write with a line under rather than equal sign)
Hope this helps!
6 0
3 years ago
Icy River increased the price of a ​$1.15 cola by 15​%. Find the increase in price and the new price. round to the nearest cent
madam [21]
15%  x
100  1.15        X is your variable, your unknown number and 15% has to always be over 100 , Then you have to cross multiply and divide 100 because that is the only number basically you have to just multiply across and divide 100 to make it to the nearest cent you have to round the last two numbers after the decimal Representing money.. Hope this helps!!
5 0
3 years ago
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