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].
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].