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Marysya12 [62]
3 years ago
13

Which equation represents a proportional relationship between the x and y values?

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

Step-by-step explanation:

A proportional relationship is depicted by the changes in one variable with respect to the other.

Let us test the values

Assume x = 2, 3 and 4 for all options

A) y + 4 = 3x,

y= 3x - 4

If x = 2, y = 2

if x = 3, y = 5

If x = 4, y = 8

B) y − 3x = 0

y = 3x

If x = 2, y = 6

If x= 3, y = 9

If x = 4 , y = 12

C) y + 5x = 6

y = 6-5x

If x = 2, y = -4

If x = 3, y = -9

If x = 4, y = -14

D) y + 1/4x = 2

y = 2 - 1/4x

If x = 2, y = 15/8

If x = 3, y = 23/12

If x = 4, y = 31/16

equations B and C represents a proportional relationship between the x and y values. A change in x always results to a corresponding and proportional change in y

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If a 30​-foot tree casts an 18​-foot ​shadow, find the length of the shadow cast by a 27-foot tree.
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Answer:

16.2 foot shadow

Step-by-step explanation:

Let the shadow cast by 27 foot tree be x.

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How do you do this question?
Mekhanik [1.2K]

Answer:

(-∞, -2), (-2, -0.618), and (1.618, 3)

Step-by-step explanation:

The red arrows indicate the regions in which the function is decreasing.

The corresponding intervals are (-∞, -0.618) and (1.618, 3),

Let's examine the intervals given.

(-∞, -2): Yes, decreasing.

(-2, -0.618): Yes, decreasing.

(-2, 0.689): No. Decreasing in (-2, -0.618) but increasing in (-0.618, 0.689).

(-1.17, 0.689): No. Decreasing in (-1.17, -0.618) but increasing

in (-0.618, 0.689).

(0.698, 71.457): No. Increasing from (0.698, 1.618), decreasing in (1.618, 3) and increasing in (3, 71.457).

(1.618, 3): Yes, decreasing.

(2.481, ∞): No. Decreasing in (2.481, 3) but increasing in (3, ∞).

The three choices that indicate a decreasing interval are (-∞, -2),

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Step-by-step explanation:

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