Question

Three relationships are described below: I. The amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. II. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases. III. The cost of having a house painted increases as the size of the house increases. What type of variation describes each relationship?

Answer 1

Variation are of 2 types: Direct variation that states 'if x increases, y increases'. And inverse variation which states ' if x increases, y decreases and y increases x increases'.

1. The amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. = Direct variation

2. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases = Inverse variation

3. The cost of having a house painted increases as the size of the house increases. = Direct variation