Which equation represents a direct variation?

Mathematics

2 answers:

slega [8]3 years ago

8 0

Answer:

c) y=1/2x

Step-by-step explanation:

A direct variation is a linear function that is written in the form of y=kx, so from the options that we have we have to search for linear functions, that rules out option "A", and now that is written in Y=KX in option b we have a liner function that is written y=X+B which is a constant, so that wouldn´t be and option D is Y=k/x so that one is also wrong, our correct option would be y=1/2x

lord [1]3 years ago

3 0

The answer is c) y=1/2x because a direct variation is in the formula b=ka where k is a constant.

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REY [17]

What will the radius of your cake be?

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The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices