How can you tell which function has the greatest constant of variation?

The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities.

The formula for direct variation is

y=kx  (or y=kx)

where kk is the constant of variation.

Example 1:

If y varies directly as x and y=15 when x=24,

find x when y=25 .

Find the constant of variation.

To find x, substitute 25 for y.

25=5/8x

x=40

The constant of variation in an indirect variation is the constant (unchanged) product between two variable quantities.

The formula for indirect variation is

xy=k (or y=k/x )

where k is the constant of variation .

Example 2:

If it takes 4 hours at an average speed of 90 km/h to do a certain journey, how long would it take at 120 km/h?

Find the constant of variation.

k = speed · time

k=90⋅4=360

Then,

time=k/speed =360/120 =3 hours.

answer is D

Step-by-step explanation:

correct answers below:

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.