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:

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.