Math Problem Statement

The low temperature on Monday was 6°F greater than half the temperature on Sunday. If the low temperature on Monday was 5°F, what was the low temperature on Sunday in degrees Fahrenheit?

Solution

Let's define the low temperature on Sunday as TT (in degrees Fahrenheit). According to the problem, the low temperature on Monday is 6°F greater than half the temperature on Sunday, and it was 5°F on Monday.

We can write the equation as:

T2+6=5\frac{T}{2} + 6 = 5

Now, solve for TT:

  1. Subtract 6 from both sides: T2=56\frac{T}{2} = 5 - 6 T2=1\frac{T}{2} = -1

  2. Multiply both sides by 2 to solve for TT: T=1×2T = -1 \times 2 T=2T = -2

So, the low temperature on Sunday was -2°F.

Would you like a more detailed explanation or have any follow-up questions? Here are some related questions:

  1. How would the equation change if the temperature difference was 8°F instead of 6°F?
  2. What would happen if the temperature on Monday was 0°F?
  3. If the temperature on Sunday was 4°F, what would the temperature on Monday be?
  4. How can this type of equation be applied in real-world temperature predictions?
  5. What is the relationship between the temperatures in this problem and algebraic functions?

Tip: When dealing with temperature-related word problems, it's helpful to translate the statements into equations step-by-step, making sure to define variables clearly.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

\( \frac{T}{2} + 6 = 5 \)

Theorems

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Suitable Grade Level

Grades 6-8