For 48 points ! show/explain your answer and work

c  This is the direct variation

Step-by-step explanation:

The equation for direct variation is y= kx

Solving this for k

y/x =k

So y/x must be a constant

a.  9/3 =3

2/7 does not =3  so this is not a direct variation

b 1/2 = .5

-3/6 = -.5

This is not the same so this is not a direct variation

c.  27/9 =3

18/6 =3

9/3 =3

This is a direct variation with a constant of 3

d 5/-7 = -5/7

1/-3 = -1/3

This is not the same so this is not a direct variation

C

Step-by-step explanation:

The equation you are looking for must look something like y = k*x

The easiest way to find it is to try 2 points to see if k would be equal in both cases. Do this for each choice.

A

k is not the same in both case. A is not the  answer.

B

Using the steps above

B is not the answer.

C

C is the answer

You can try D yourself

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation:

ñplokuhtgfedij

step-by-step explanation: