Math Problem Statement

The image contains a problem about temperature and altitude as well as Reamur to Celsius conversions. There is also a cost comparison problem involving the purchase of clothes.

Solution

The image you uploaded contains mathematical information and exercises related to temperature conversions and mathematical modeling. Here's a summary of the content in the image:

1. Reamur to Celsius Conversion:

  • The formula 2.801=x\frac{2.80}{1} = x gives x=160Rx = 160^\circ R, indicating a conversion between Reamur and Celsius temperatures.
  • There is a graph comparing the values of Reamur and Celsius thermometers at various temperature points, including freezing (titik beku), boiling (titik didih), and high temperatures (suhu tinggi).

2. Exercises (Soal Latihan):

  1. Temperature and Altitude:

    • Given a temperature of 25°C at ground level, and 15°C at an altitude of 2 km, determine the temperature (T) as a function of altitude (in km).
  2. Further Calculation at 3 km Altitude:

    • Based on the first problem, determine the temperature at an altitude of 3 km.
  3. Formula Writing:

    • Write a formula for distance as a function of the parameters given in question 1.
  4. Cost Calculation Problem:

    • Yusri buys a shirt and trousers for Rp 150,000, while Novi buys a shirt and two pairs of trousers for Rp 225,000. Create a mathematical model to compare the prices.
  5. Mathematical Model Based on Ranges:

    • Create a mathematical model for values between 25 and 50 or between -25 and -10.

Would you like me to help with solving any specific problems or explain a particular concept from the exercises?

Here are 5 related questions:

  1. How is the temperature change related to altitude in real-world applications?
  2. How can you generalize temperature functions for other altitudes beyond the ones given?
  3. Can you describe the price ratio between shirts and trousers from question 4?
  4. How would you model temperatures using linear regression based on the given data?
  5. What are common applications of Reamur to Celsius conversions?

Tip: To solve the temperature-altitude problem, you can assume a linear relation between temperature and altitude unless otherwise specified.

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Math Problem Analysis

Mathematical Concepts

Temperature Conversion
Linear Functions
Algebraic Modeling

Formulas

Celsius to Reamur Conversion: C = (5/4) * R
Temperature as a function of altitude: T = f(altitude)
Cost comparison and linear modeling for prices

Theorems

Linear relationships
Unit conversion formulas

Suitable Grade Level

Grades 8-10