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Anastasy [175]
3 years ago
8

Which point on the graph is a direct variation equation in which k=12.4

Mathematics
1 answer:
frez [133]3 years ago
4 0

Answer:

The correct answer would be A) (4, 49.6)

Step-by-step explanation:

In order to find the equation, we first have to start with the base form of direct variation.

y = kx

Now we input the k value.

y = 12.4x

Now that we have this, we can try the ordered pairs and look for which satisfies the equation.

y = 12.4x

49.4 = 12.4(4)

49.4 = 49.4

Since this is the true statement, this is the ordered pair that works.

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Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

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Now in triangle ABE.

\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}

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AE\approx 1419.54

The height air balloon is 1419.54+95 =1514.54 ft

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