Variation and Modeling

The cost of a taxi fare varies directly as the distance (x) travelled. When the distance is 60 km, the cost is $35. Find the constant of proportionality.

• K=12/7

• y=(12/7) x

• K=7/12

• x=(7/12) y

The width (w) of a rectangle varies directly to its length (l). If the width is 8 and the length is 2, determine its equation of variation.

• K=¼

• K=4

• l=¼w

• D. w=4l

Given that y varies directly as the cube of x and that y = 21 when x = 3. Find the constant of proportionality and the equation of variation.

• K=7/9 is the constant of proportionality and the equation of variation is y=(7/9)x.

• K=9/7 is the constant of proportionality and the equation of variation is y=(9/7)x.

• K=7 is the constant of proportionality and the equation of variation is y=7x D.

• K=1/7 is the constant of proportionality and the equation of variation is y=(1/7)x

It describe a situation where one variable depends on two (or more) other variables, and varies directly as each of them when the others are held constant?

• Direct variation

• Joint variation

• Combined variation

• Inverse variation

What is the equation of variation if the area of a rectangle is jointly proportional to its length and width with constant of proportionality 1?

• A=KLW

• A=L/W

• A=LW

• A= KL²W

Combined variation is the separation of direct, inverse, and joint variation. -

• True

• False

• Maybe

• I don't know

If x varies directly as the square of y and inversely as z, where x is 12, y is 3, and z is equal to six. What is the value of constant of proportionality or k?

• 10

• 9

• 8

• 7

Find the constant of proportionality and the equation of variation if T is inversely proportional to S and T= 66  when S= 5.5

• K=343 and the equation of variation is T=343/S

• K=350 and the equation of variation is T=350/S

• K=360 and the equation of variation is T=360/S

• K=363  and the equation of variation is T=363/S

.L is inversely proportional to the square of M. If  L=9 when M=9, find L when M=6

• L=20.25

• L=20.35

• L=21.66

• L=21.75

F is inversely proportional to X. Find the constant of proportionality and the equation of variation, If F=3 and U=4.

• k=11  and f=x/11

• k=11 and f=11/x

• k=12 and f=12/x

• k=12 and f=x/12