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Firdavs [7]
3 years ago
13

Which table shows a proportional relationship between x and y? please help and answer quick plz

Mathematics
1 answer:
gavmur [86]3 years ago
3 0
The answer is c. 

(a)

x * 2 = y
2 * 2 = 4 
3 * 2 = 6
4 * 2 = 8 not 9

(b)

unknown formula

(c)

x * 3 = y
4 * 3 = 12 
5 * 3 = 15
6 * 3 = 18

(d)

x * 4
1 * 4 = 4
2 * 4 = 8
3 * 3 = 9 not 15
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Step-by-step explanation:

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Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

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y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

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using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

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k = y/x

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k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

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