16. Direct Variation

If three men working at the same hourly rate are paid a total of $52.08 for a day's work, how much should be paid to five men at the same hourly rate?

86.80

Solve the problem as directed. The product of the base and height of a rectangle is the area. Can this statement be represented as variation for the base and height? (Hint: Treat the area as a constant.)

no

If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4.

3

The distance a body falls from rest varies as the square of the time the body is falling. If a body falls 64 ft. in two seconds, how far will it fall in seven seconds?

784

If the cost of a telephone conversation varies directly as the length of the time of conversation, and if the cost of six minutes is $0.90, what would be the cost for a nine-minute call?

$1.35

If t varies as v, and t = 2 4/7 when v =13/14, find v when t = 2 1/4.

13/16

In a circle, the circumference and diameter vary directly. Which of the following equations would allow you to find the diameter of a circle with a circumference of 154 if you know that in a second circle the diameter is 14 when the circumference is 44?

154/d=44/14

Which of the following are types of variations?

Direct Inverse Combined Joint

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the problem as directed. Express p= k/v as a proportion.

K1 K2 ---- = ----- V1 V2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Solve the problem as directed. The volume (v) of a sphere varies directly as the cube of its diameter (d). Write this statement in algebraic language, using an equation with the variables c, v, and d.

c=v/d^3