Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The temperature has been dropping 2º c every hour, and the temperature at 10:00 AM was-15 °c. At what time was the temperature 0°c ?

Sagot :

Darian

Answer:

[tex]\huge\boxed{2:30 AM}[/tex]

Given Information:

  • Every hour the temperature decreases by 2ºC.
  • At 10 AM the temperature was -15ºC.
  • We need to find the time when the temperature was 0°C.

Variables and constants:

  • y is the temperature.
  • t is the time in hours.
  • m is the rate of temperature decrease per hour, which is -2°C per hour.
  • c is the initial temperature at 10:00 AM, which is -15°C.

Step-by-step explanation:

As the temperature decrease is linear, we can construct a linear equation in the format [tex]y=mt+c[/tex] using the information given, giving us [tex]y=-2t-15[/tex]. The next step is to set y, which is the temperature, to 0. This will give us the equation of [tex]-2t-15=0[/tex]. We can then rearrange this to make -2t the subject of the equation by adding 15 to both sides, giving us [tex]-2t=15[/tex]. To isolate t we would divide both sides by -2, giving us [tex]t=-7.5[/tex]. This tells us that 7.5 hours before 10AM the temperature was 0. To find the time 7.5 hours before 10:00 AM, subtract 7 hours and 30 minutes from 10:00 AM, telling us that the temperature was 0°C at 2:30 AM.

1) Identify that it is a linear decrease.

[tex]y=mt+c[/tex]

2) Construct a linear equation.

[tex]y=-2t-15[/tex]

3) Set the equation to 0.

[tex]-2t-15=0[/tex]

4) Add 15 to both sides.

[tex]-2t=15[/tex]

5) Divide both sides by -2.

[tex]t=\frac{15}{-2}[/tex]

[tex]t=-7.5[/tex]

6) Subtract 7 hours from 10:00 AM.

10:00 AM−7 hours=3:00 AM

7) Subtract 30 minutes from 3:00 AM:

3:00 AM−30 minutes=2:30 AM

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.