11.b Ratios

Question 1

Solve:

Answer 1

Question 2

What is a proportion?

Answer 2

Two ratios that are equal

Question 3

Calculate z, knowing this is a proportion

Answer 3

z = 18

Question 4

How would you express a direct variation relationship?

(eg. y and x are directly varied)

Answer 4

y = kx

where k is a positive constant

Question 5

Solve:

Answer 5

Question 6

How would you express a direct variation relationship?

Where y is directly related to the square of x

Answer 6

y = k(x^2)

Question 7

How would you express an inverse variation relationship?

Where y is inversely related to x?

Answer 7

Question 8

Solve:

Answer 8

Question 9

How would you express an inverse variation relationship?

Where y is inversely related to x^2?

Answer 9

Question 10

How could you combine variation?

Answer 10

Question 11

Answer 11

Question 12

How would you express?

“y varies directly jointly with x and z”

Answer 12

y = kxz

Question 13

How would you express?

“y varies inversely jointly with x and z”

Answer 13

y = k / xz

Question 14

How would you express?

“A varies inversely jointly with the square of variable B and the fourth root of variable C”

Answer 14