Three relationships are described below: I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of time needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship? I is joint, II is direct, and III is inverse. I is direct, II is inverse, and III is joint. I is joint, II is inverse, and III is direct. I is direct, II is joint, and III is inverse.

Question

Three relationships are described below: I. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. II. The amount of time needed to paint a house decreases as the number of painters increases. III. The income of a worker who gets paid an hourly wage depends on the number of hours worked. What type of variation describes each relationship? I is joint, II is direct, and III is inverse. I is direct, II is inverse, and III is joint. I is joint, II is inverse, and III is direct. I is direct, II is joint, and III is inverse.

Answer 1

### I is joint, II is inverse, and III is direct.

Answer 2

## Step1: Identify the type of variation for Relationship I### The cost of hiring a mover depends on both the distance traveled and the weight of the objects moved. Since it depends on two variables, this is a joint variation.## Step2: Identify the type of variation for Relationship II### The amount of time needed to paint a house decreases as the number of painters increases. This describes an inverse relationship because one variable increases while the other decreases.## Step3: Identify the type of variation for Relationship III### The income of a worker who gets paid an hourly wage depends on the number of hours worked. This is a direct variation because the income increases directly with the number of hours worked.

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