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 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?

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

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8