High School

The temperature on a summer afternoon is [tex]76^{\circ} F[/tex].

1. Define a variable and write an expression to find the temperature after it changes.
Let [tex]c[/tex] be the change in temperature. The expression for the new temperature is:
[tex]76 - c[/tex]

2. Evaluate your expression for a decrease of 8 degrees Fahrenheit:
[tex]76 - 8 = 68^{\circ} F[/tex]

Answer :

To solve the problem, we'll follow these steps:

1. Understand the Initial Condition: The initial temperature on a summer afternoon is [tex]\(76^\circ F\)[/tex].

2. Define a Variable for the Change in Temperature: Let's consider the change in temperature (a decrease in this case) to be a variable. We'll call it [tex]\(c\)[/tex]. In this situation, the decrease is 8 degrees Fahrenheit, so [tex]\(c = -8\)[/tex].

3. Write an Expression for the New Temperature: The new temperature after the change can be found using the expression:
[tex]\[
\text{New Temperature} = \text{Initial Temperature} + c
\][/tex]
Substituting the known values:
[tex]\[
\text{New Temperature} = 76 + (-8)
\][/tex]

4. Calculate the New Temperature:
[tex]\[
76 + (-8) = 76 - 8 = 68
\][/tex]

Therefore, after the decrease of 8 degrees Fahrenheit, the new temperature is [tex]\(68^\circ F\)[/tex].