PDF Notes: algebra- inverse variation

What is inverse variation?

A relationship where one variable increases as the other decreases.

How do you find the proportionality constant k?

Use known values of the variables in the equation.

What happens to A when B increases in inverse variation?

A decreases as B increases.

What is the equation for A inversely proportional to B?

A = k/B, where k is the constant.

How is inverse variation different from direct variation?

In direct variation, both variables increase or decrease together.

What is the relationship between time t and staff s in check-in time?

t is inversely proportional to s².

Find A when B = 10 if A is inversely proportional to B and A = 5, B = 6.

A = 3.

What is the formula for light intensity I in terms of distance x?

I = k/x².

What happens to the pressure of water when the hose radius decreases?

Pressure increases as radius decreases.

How do you find the value of y when y is inversely proportional to x?

Use the known values to calculate k and then find y.

What is the implication of A being inversely proportional to B²?

A decreases faster as B increases.

What is the condition for T when d = 3 if T is directly proportional to d²?

T = 225.

How do you calculate the amount of diesel needed for a trip?

Use the inverse relationship between distance and diesel consumption.

What is the minimum staff required for check-in time under 60 minutes?

Calculate using the inverse relationship with t and s.

What happens to y when x increases in y is inversely proportional to x?

y decreases as x increases.