questions\n1) what is the difference in temperature for the following? what is the difference in the two…

questions\n1) what is the difference in temperature for the following? what is the difference in the two thermometers?\n2) what is the average of the two temperatures?\n3) what math can you do to get from the temperature at the start to the temperature at the end? be sure to write down each step (there are multiple possible answers that could be correct).\n4) draw your own two thermometers and their temperature. write down the difference between the two below and write down the thermometers.\n5) using your drawing, what math can you do to get from the temperature at the start to the temperature at the end? be sure to write down each step (there are multiple possible answers that could be correct).\ntemperature time\ndirections: use the pictures of the two thermometers to answer each question.

questions\n1) what is the difference in temperature for the following? what is the difference in the two thermometers?\n2) what is the average of the two temperatures?\n3) what math can you do to get from the temperature at the start to the temperature at the end? be sure to write down each step (there are multiple possible answers that could be correct).\n4) draw your own two thermometers and their temperature. write down the difference between the two below and write down the thermometers.\n5) using your drawing, what math can you do to get from the temperature at the start to the temperature at the end? be sure to write down each step (there are multiple possible answers that could be correct).\ntemperature time\ndirections: use the pictures of the two thermometers to answer each question.

Answer

  1. What is the difference in temperature in the two thermometers?
    • The first thermometer shows a temperature of (10^{\circ}) (at the end - mark) and the second thermometer shows a temperature of (- 30^{\circ}) (at the start - mark).

    • Explanation:

      Step1: Identify the formula for temperature difference

      The formula for the difference (\Delta T) between two temperatures (T_1) and (T_2) is (\Delta T=T_1 - T_2). Let (T_1 = 10^{\circ}) and (T_2=-30^{\circ}).

      Step2: Substitute the values into the formula

      (\Delta T=10-(-30)). Using the rule (a-(-b)=a + b), we have (\Delta T=10 + 30). (\Delta T = 40^{\circ})

    • Answer:

      (40^{\circ})
  2. What is the average of the two temperatures?

    • Explanation:

      Step1: Identify the formula for the average of two numbers

      The formula for the average (\bar{T}) of two temperatures (T_1) and (T_2) is (\bar{T}=\frac{T_1 + T_2}{2}). Here, (T_1 = 10^{\circ}) and (T_2=-30^{\circ}).

      Step2: Substitute the values into the formula

      (\bar{T}=\frac{10+( - 30)}{2}=\frac{10 - 30}{2}=\frac{-20}{2}=-10^{\circ})

    • Answer:

      (-10^{\circ})
  3. What math can you do to get from the temperature at the start to the temperature at the end?

    • Explanation:

      Step1: Analyze the starting and ending temperatures

      The starting temperature (T_s=-30^{\circ}) and the ending temperature (T_e = 10^{\circ}). We need to find an operation such that (T_s+x=T_e).

      Step2: Solve for (x)

      (x=T_e - T_s). Substituting the values, (x = 10-(-30)=10 + 30 = 40). So we add (40^{\circ}) to the starting temperature to get to the ending temperature.

    • Answer:

      Add (40^{\circ})
  4. Draw your own thermometers and their temperatures and write down the difference between the two
    • Let's assume one thermometer shows a temperature of (20^{\circ}) and another shows a temperature of (-10^{\circ}).

    • Explanation:

      Step1: Use the temperature - difference formula

      Using (\Delta T=T_1 - T_2), where (T_1 = 20^{\circ}) and (T_2=-10^{\circ}).

      Step2: Calculate the difference

      (\Delta T=20-(-10)=20 + 10=30^{\circ}) (You can draw two thermometers with appropriate markings for (20^{\circ}) and (-10^{\circ}) respectively)

    • Answer:

      The difference is (30^{\circ})
  5. Using your drawing, what math do you do to get from the temperature at the start to the temperature at the end?
    • Assuming the starting temperature (T_s=-10^{\circ}) and the ending temperature (T_e = 20^{\circ}) from the previous part.

    • Explanation:

      Step1: Set up the equation

      We want to find (x) such that (T_s+x=T_e).

      Step2: Solve for (x)

      (x=T_e - T_s). Substituting (T_e = 20^{\circ}) and (T_s=-10^{\circ}), we get (x=20-(-10)=20 + 10 = 30). So we add (30^{\circ}) to the starting temperature to get to the ending temperature.

    • Answer:

      Add (30^{\circ})