Direct and Inverse Proportion

Question 1

If two variables are in direct proportion and one is multiplied by a, what happens to the other variable?

Answer 1

It is also multiplied by a.

Question 2

If two shapes are similar, what does that mean about the proportion between the sides?

Answer 2

It means that they are in direct proportion.

Question 3

What is direct proportion?

Answer 3

Direct proportion occurs when one variable is always a multiple of the other. The symbol for direct proportion is ∝. The two variables always divide to give a constant. x/y = k

Question 4

What is inverse proportion?

Answer 4

When a variable is directly proportional to one over the other variable e.g x ∝ 1/y. The two variables in inverse proportion always multiply to give a constant xy = k.

Question 5

What is exponential growth?

Answer 5

It is where a variable increases at an increasing rate.

Question 6

What form does exponential growth take as a function?

Answer 6

g(k^x)