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1. The temperature on a summer afternoon is [tex]76^{\circ} F[/tex]. Define a variable and write an expression to find the temperature after it changes. Then evaluate [tex]y[/tex].

A. [tex]8-c; \, 8-(-76)=68; \, 68^{\circ} F[/tex]

B. [tex]76-c; \, 76-(-8)=84; \, 84^{\circ} F[/tex]

C. [tex]76+c; \, 76+(-8)=68; \, 68^{\circ} F[/tex]

D. [tex]8+c; \, 8+(-76)=84; \, 84^{\circ} F[/tex]

E. [tex]47^{\circ} F[/tex]

Answer :

Let's tackle the problem step-by-step to determine the temperature after it changes:

1. Define the Initial Temperature:
- The initial temperature on the summer afternoon is given as [tex]\(76^\circ F\)[/tex].

2. Define the Change in Temperature:
- We need to find and evaluate how the temperature changes. For this, we use a variable [tex]\(c\)[/tex]. In the original context, it seems [tex]\(c\)[/tex] is representing the change in temperature which is [tex]\(-8\)[/tex].

3. Write an Expression to Find the New Temperature:
- To find the new temperature after the change, we use the expression:
[tex]\[
\text{New temperature} = 76 - (-8)
\][/tex]

4. Evaluate the Expression:
- Solving the expression:
[tex]\[
76 - (-8) = 76 + 8 = 84
\][/tex]
- Therefore, the new temperature is [tex]\(84^\circ F\)[/tex].

Based on these steps, after the change, the temperature would be [tex]\(84^\circ F\)[/tex].

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