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Sabin opened a new martial arts gym.

N(t) models the net worth of the gym (in thousands of dollars) after t months. Match each statement

Sagot :

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  1. Relative maximum or minimum: the gym's net worth was at its lowest at six (6) months.
  2. Positive or negative interval: the gym's losses exceeded its profits between 2 and 10 months after opening.
  3. Increasing or decreasing interval: the gym was losing money for the first 6 months.

What is a graph?

A graph can be defined as a statistical tool that is used for the graphical representation of data (information) on both the horizontal and vertical lines, which are x-axis and y-axis respectively.

In this scenario, the x-coordinate is used to represent time (t) in months ranging from 1 to 13.

Conversely, the y-coordinate is used to represent the net worth N(t) of the gym (in thousands of dollars).

The graph of new martial arts gym.

From the graph, we can deduce the following points (statements):

1. Relative maximum or minimum: the gym's net worth was at its lowest at six (6) months.

  • The y-coordinate at the highest and lowest points of a graph are called the relative maximum and relative minimum respectively.

2. Positive or negative interval: the gym's losses exceeded its profits between 2 and 10 months after opening.

  • The positive regions of a graph are those intervals where the graphed function is above the x-coordinate and values on the y-coordinate are positive while the negative regions of a graph are those intervals where the graphed function is below the x-coordinate and values on the y-coordinate are negative.

3. Increasing or decreasing interval: the gym was losing money for the first 6 months.

  • A graph is said to be increasing or decreasing when there is a direct relationship or an inverse relationship between the values on the x-coordinate and y-coordinate respectively.

Read more on graphs here: https://brainly.com/question/25324951

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