T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each statement with the feature of the graph that most closely corresponds to it.

T models the temperature in degrees Celsius in New York City when its t hours after midnight on a given day Match each statement with the feature of the graph t class=

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Answer:

Y Intercept: It was 3C at the beginning of the day.

Positive or negative interval: The temperature was above zero between 8 am and 8 pm.

Increasing or decreasing interval: It was getting warmer between 2 am and 2 pm

Step-by-step explanation:

Features matching the correct statements are:

y intercept: It was ₋3°C at the beginning of the day.

Positive or negative interval: The temperature was above zero between 8 am and 8 pm.

Increasing or decreasing interval: It was getting warmer between 2am and 2 pm.

What is the temperature graph over time?

The x-axis in a time-temperature graph, sometimes known as a "x-y graph," depicts time, and the y-axis the temperature. The temperature's relationship to time is depicted on the graph.

we can notice in the given graph that T(t) represents the time and t represents the temperature of the city.

  1. So we see when lowercase t when time is zero(0), zero hours after midnight the temperature in the New York city is negative 3°C(₋3°C) so it was ₋3°C at the beginning of the day since the true beginning of the day is right at midnight. Hence y intercept tells us that it was ₋3°C at the beginning of the day.  
  2. Then about the positive or negative interval we can notice from the graph that we have a negative interval from time equals zero to time equals eight which means the temperature is negative as it goes below zero and from 8 am to 8 pm we can see that the temperature goes positive and then it dips down to negative again. So a positive or negative interval tells us about when the temperature was above xero between 8 am and 8 pm.
  3. The increasing and decreasing interval, here we see that the function is increasing as t increases so does the temperature, all the way to 2 pm. Hence, we are just using the increasing interval to  match the statement that it was getting warmer between 2 am and 2 pm.

Hence we get the statements match to their features.

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