Question

1. "The amount of money you earn from a summer job is dependent upon the number of hours you work. What do you think it means when a variable is dependent upon another variable?"

2. "A relation is a person to whom you are related. If (1,2), (3,4), and (5,6) form a mathematical relation, to which number is 3 related?"
3. "When a furnace runs continuously, there are no breaks or interruptions in its operation. What do you think a continuous graph looks like?"

Answer 1

A dependent variable is determined by another variable. A continuous graph shows a smooth and uninterrupted progression of values. In the relation (1,2), (3,4), and (5,6), 3 is related to 4.

Step-by-step explanation:

When a variable is dependent upon another variable, it means that the value of one variable is determined by the value of the other variable. In the context of earning money from a summer job, the amount of money earned is dependent upon the number of hours worked. For example, if you work more hours, you will earn more money.

A continuous graph is one where the data points are connected by a line. It represents a situation where there are no breaks or interruptions in the data. The line on the graph shows a smooth and continuous progression of values. For instance, if you were graphing the temperature throughout the day, a continuous graph would show a smooth line without any sudden jumps or gaps in the data.

In the given mathematical relation (1,2), (3,4), and (5,6), the number 3 is related to the number 4. This means that in the relation, when the independent variable is 3, the dependent variable is 4.