Inverse Variation in Daily Life

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no space)

z varies inversely with w

(a)  

Solve for the unknown variable.

If y varies inversely as x and y = 12 when x = 3, what is the value of x when y = 4?

(a)  

Solve for the unknown variable.

If y varies inversely as x and y = 45 when x = 2, what is the value of y when x = 25? (Fraction form, use / for fraction bar and no spacing)

(a)  

Solve for the unknown variable.

If r varies inversely as g and r = 106 when g = 78, what is the value of g when r = 26?

(a)  

The time (t) required to drive a fixed distance varies inversely as the speed (r). It takes 6 hours at 60 kph to drive a fixed distance. How long would it take to drive the same distance at 40 kph? (unit of measure must be written in small letters: _ hours)

(a)  

Write the statement in the form of an equation. Use k as the constant of variation. (Use / for fraction bar, no spacing)

Twice c varies inversely as p.

(a)  

As the speed of a train increases, the amount of time it takes to arrive at its destination decreases. What type of variation exists between the speed of the train and amount of time?

• Direct Variation

• Inverse Variation

• Neither

• Not enough information

The width of a rectangle varies inversely with its length. If the width is 4 when the length is 18, what is the width when the length is 8?

• 4

• 5

• 9

• 12

The width of a rectangle varies inversely with its length.  If the width is 6 when the length is 24, give an equation that shows the relationship.

• y = 4x

• y = 144x

• y = 4/x

• y = 144/x

Write an equation for this relationship.

• y=4x

• y=1/8x

• y=1/4x

• y=8x

Tags

CCSS.6.EE.C.9