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aleksandr82 [10.1K]
3 years ago
13

A proportional relationship between y and x. When x = 3, y=−4 .

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:

k = 4/3

Step-by-step explanation:

Formula for k: <u>y</u><u>/</u><u>x</u>

If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:

k = 4/3

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Answer:

The correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

Step-by-step explanation:

Consider the provided number line.

From the number line we can observed that:

1) A, B, C and D lies between -1 and 0.

2) Point A and B lies between -1 and -0.5

3) Point C and D lies between -0.5 and 0

Therefore, the value of A and B must have a negative value lying between -1 and -0.5

Also, the value of C and D must have a negative value lying between -0.5 and 0.

Now consider the provided options.

Option A) A=-5/16,B=-9/16,C=-0.7,D=-0.4

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option B) A=-0.4,B=-0.7,C=-5/16,D=9/16

This is Incorrect representation because the value of A and B should lying between -1 and -0.5.

Option C) A=9/16,B=-5/16,C=-0.4,D=-0.7

This is Incorrect representation because the value of C and D should lying between -0.5 and 0.

Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

A = -0.7\\B = -\displaystyle\frac{9}{16} = -0.5625\\C = -0.4\\D = -\frac{5}{16} = -0.3125

Here the value of A and B lying between -1 and -0.5 also the value of C and D lying between -0.5 and 0.

Also they are in ascending order from -1 to 0.

Hence, the correct option is Option D) A=-0.7,B=-9/16,C=-0.4,D=-5/16

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