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Chandler Coleman

03/28/2023 · High School

Let x represent the number of minutes passed after the start of the experiment, and let f(x) represent the temperature of the solution. Once the temperature reached 45°C , the experiment was stopped. Over which interval did Peter conduct the experiment?

A. 0≤ x≤ 6 B. 2≤ x≤ 6 C. 0≤ x≤ 3 D. 0≤ x≤ 2

Answer
expertExpert-Verified Answer

Huang Valdez
Experienced Tutor
5.0 (19votes)

D. 0≤ x≤ 2

Solution

The graph shows that the temperature reached 45°C at approximately 2 minutes. Therefore, the experiment was conducted over the interval from 0 to 2 minutes.

 

Supplemental Knowledge

Interpreting graphs is a fundamental skill in mathematics, particularly in understanding how variables change over time. In this context, the graph shows the relationship between time (in minutes) and temperature (in degrees Celsius). The function \(f( x) \) represents the temperature of a solution at any given time \(x\).
When analyzing such graphs, key points of interest include:

  • The starting point (initial condition).
  • The endpoint or stopping condition.
  • The intervals over which significant changes occur.
    In this scenario, we are interested in determining the interval during which the temperature reaches 45°C. This involves identifying the specific range on the x-axis that corresponds to this temperature on the y-axis.

 

Real-World Applications

Imagine you're cooking and need to heat a solution to an exact temperature before adding another ingredient, just as Peter did with his experiment. So you start heating with your thermometer in hand while keeping an eye on how many minutes it takes until the solution reaches 45°C- something similar to Peter's experiment where he stopped once reaching this critical threshold temperature.
Scientific research can also benefit from precise control over conditions. If performing an experiment that needs a solution at 45°C for accurate results, knowing how long it takes for reaching that temperature helps plan and execute it effectively.

 

Understanding how to interpret graphs can significantly enhance your analytical skills across various fields, from cooking to scientific research. At UpStudy, we provide powerful tools like our Algebra functions calculator to help you master these concepts effortlessly. Dive into our extensive resources and live tutor question bank for personalized guidance on interpreting functions and more.
Explore UpStudy today – where learning meets practical application!

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