Math Problem Statement

The estimation of 40°C in degrees Fahrenheit is ...

Solution

The question asks for an estimation of 40°C in Fahrenheit using the conversion graph. From the graph:

  • On the x-axis, find 40°C.
  • Move vertically up from 40°C until you hit the line representing the conversion relationship between Celsius and Fahrenheit.
  • From that point, move horizontally to the y-axis, which gives the corresponding temperature in Fahrenheit.

By observing the graph, 40°C appears to correspond to approximately 105°F.

Would you like more details on how to interpret conversion graphs or the specific formula used to convert Celsius to Fahrenheit?

Here are 5 related questions:

  1. What is the formula for converting Celsius to Fahrenheit?
  2. How would you convert 50°C to Fahrenheit using the graph?
  3. How does the graph help estimate temperatures between major grid lines?
  4. What other methods could you use to convert Celsius to Fahrenheit without the graph?
  5. What are the key characteristics of a linear relationship like the one shown in the graph?

Tip: To convert Celsius to Fahrenheit directly, you can use the formula F=95C+32F = \frac{9}{5}C + 32.

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Math Problem Analysis

Mathematical Concepts

Temperature Conversion
Linear Graphs
Coordinate Systems

Formulas

F = (9/5)C + 32

Theorems

Linear Relationship Between Celsius and Fahrenheit

Suitable Grade Level

Grades 5-7