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yulyashka [42]
2 years ago
7

Identify which table shows a direct variation

Mathematics
2 answers:
taurus [48]2 years ago
6 0
You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.

You can find the slope by putting both sets of coordinates into the equation
y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.

(7.5 - 3) / (11.25 - 4.5)
4.5 / 6.75
The slope is 2/3

Next, input the slope and the origin (0,0) into point-slope form.
y - y = m (x - x)                 Substitute.
y - 3 = 2/3 (x - 4.5)            Distributive Property.
y - 3 = 2/3x - 8/15             Add 3 to both sides.
y = 2/3x + 37/15                Simplify.
y = 2/3x + 2 2/15   

So you know that the line does not go through origin, because its y-intercept is 2 2/15.

For the second one do the same things.

y -y / x - x
(3 - 1.5) / (12 - 8)
1.5 / 4
3/8

y - y = m ( x - x )
y - 3 = 3/8 (x - 12)
y - 3 = 3/8x - 24/8
y = 3/8x - 0
y = 3/8x

So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.
Juli2301 [7.4K]2 years ago
3 0

Answer:

You can tell if it has direct variation by finding the slope and inserting it and the coordinates into point slope form.

You can find the slope by putting both sets of coordinates into the equation

y - y / x -x , where the first y and x are from one set of coordinates, and the next two are from the other set.

(7.5 - 3) / (11.25 - 4.5)

4.5 / 6.75

The slope is 2/3

Next, input the slope and the origin (0,0) into point-slope form.

y - y = m (x - x)                 Substitute.

y - 3 = 2/3 (x - 4.5)            Distributive Property.

y - 3 = 2/3x - 8/15             Add 3 to both sides.

y = 2/3x + 37/15                Simplify.

y = 2/3x + 2 2/15   

So you know that the line does not go through origin, because its y-intercept is 2 2/15.

For the second one do the same things.

y -y / x - x

(3 - 1.5) / (12 - 8)

1.5 / 4

3/8

y - y = m ( x - x )

y - 3 = 3/8 (x - 12)

y - 3 = 3/8x - 24/8

y = 3/8x - 0

y = 3/8x

So the second one goes through the origin because its y-intercept is 0. The answer is Table 2 has direct variation.

Step-by-step explanation:

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6 0
3 years ago
Kenneth earns $450 for working 37 1/2 hours. If Kenneth works for 42 hours next week, how much will he earn. A.255.00. B.12.00.
iren2701 [21]

Answer:

Kenneth will earn about $ 504 the next week

Step-by-step explanation:

The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.

to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.

This is 450/ 37.5 = 12 dollars per hour.

Kenneth earns $12 per hour.

If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week

5 0
3 years ago
Which is the best estimate of 90/7 divided y 1 3/4? 2 6 12 24
Vilka [71]
The answer to this question would be: 6
In this question, you are asked to estimate 90/7 divided by (1 + 3/4). You can convert the 1 3/4 into :
1 +3/4=
4/4 + 3/4= 7/4
Then, the calculation would be:
(90/7) / (7/4)= (90*4)/ (7*7)= 7.347

The distance from 7.347 to 6 would be -1.347. It was much shorter than the distance to 12 which is 4.7. The closest answer would be 6
3 0
3 years ago
Read 2 more answers
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