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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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Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50
timofeeve [1]

Step-by-step explanation:

Plan A: A = 20G

Plan B: B = 15G + 40

To see when they will be equal set the equations equal to each other

20G = 15G + 40

5G = 40

G = 8

At 8 GB they will cost the same amount.

20(8) = $160

15(8)+40 = $160

Hope it will be Helpfull

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8 0
2 years ago
What is the perimeter of square abcd? startroot 37 endroot units 4 startroot 37 endroot units 28 units 37 units
klio [65]

Answer:

Step-by-step explanation:

All you have to do is add the four sides together and that should be your answer.

3 0
2 years ago
What is the standard form equation for slope is zero and (0,5) is on the line
kirill [66]

Answer:

y= (0)x + 5

Step-by-step explanation:

5 0
3 years ago
An arch for a bridge over a highway is in the form of a semiellipse. The top of the arch is 35 feet above ground (the major axis
jeka94

For given problem:

Put midpoint of ellipse, (0,0) at epicenter of bridge at ground level.

Specified length of vertical major axis = 70=2a

a=35

a^2=1225

 

Equation of ellipse:

 

x^2/b^2+y^2=1

 

plug in coordinates of given point on ellipse(25, 10)

 

25^2/b^2 + 10^2/a^2 = 1

 

625/b^2 + 100/1225=1

 

625/b^2 = 1 - 100/ 1225 = .918

 

b^2 = 625/.918 ≈ 681

 

b ≈ 26.09

 

length of minor axis = 2b = 2(26.09) ≈ 52.16 ft

 

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8 0
3 years ago
A box contains 20 lightbulbs, of which 5 are defective. If 4 lightbulbs are picked from the box randomly, the probability that a
madam [21]

Answer:

Option D. 938/969

Step-by-step explanation:

At most 2 defective means 2 or less than 2 bulbs are defective

So, we have 3 cases:

a) No defective bulb.       b) 1 defective bulb.      c) 2 defective bulbs

Case a) No defective bulb

Total number of bulbs = 20

Number of defective bulbs = 5

Number of non-defective bulbs = 15

Total number of ways to select 0 defective bulb = 15C4 = 1365

Case b) 1 defective bulb

Total number of ways to select 1 defective bulb = 15C3 x 5C1 = 2275

Case c) 2 defective bulbs

Total number of ways to select 2 defective bulbs = 15C2 x 5C2 = 1050

Therefore, total number of ways to select at most 2 defective bulbs = 1365 + 2275 + 1050 = 4690

Total number of ways to select 4 bulbs from 20 = 20C4 = 4845

Therefore, probability of selecting at most 2 defective bulbs = \frac{4690}{4845}=\frac{938}{969}

Therefore, option D gives the correct answer.

6 0
3 years ago
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