Yesterday, between noon and midnight, the temperature dropped by 30^(@)F. If the temperature was -6.5^(@)F at midnight, what was it at noon? Answer: ^(@)F

Understand the Problem: Understand the problem. We need to find the temperature at noon given that the temperature dropped by 30°F from noon to midnight and was -6.5°F at midnight.Set Up Equation: Set up the equation. Let the temperature at noon be represented by T. The temperature dropped by 30°F to reach -6.5°F at midnight. So, the equation is: T - 30°F = -6.5°FSolve for T: Solve for T. Add 30°F to both sides of the equation to find the temperature at noon (T). T - 30°F + 30°F = -6.5°F + 30°F T = 23.5°FCheck the Result: Check the result. If the temperature at noon was 23.5°F and it dropped by 30°F, then at midnight it would be: 23.5°F - 30°F = -6.5°F This matches the given information, so there is no math error.

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Yesterday, between noon and midnight, the temperature dropped by
30^(@)F. If the temperature was
-6.5^(@)F at midnight, what was it at noon?
Answer:
^(@)F

Yesterday, between noon and midnight, the temperature dropped by $30^{\circ} \mathrm{F}$ . If the temperature was $-6.5^{\circ} \mathrm{F}$ at midnight, what was it at noon? $\newline$ Answer: $\square$ ${ }^{\circ} \mathrm{F}$

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Algebra 1

Interpret functions using everyday language

Full solution

Q. Yesterday, between noon and midnight, the temperature dropped by

30^{\circ} \mathrm{F}

. If the temperature was

-6.5^{\circ} \mathrm{F}

at midnight, what was it at noon?

\newline

Answer:

\square

{ }^{\circ} \mathrm{F}

Understand the Problem: Understand the problem. $\newline$ We need to find the temperature at noon given that the temperature dropped by $30\degree F$ from noon to midnight and was $-6.5\degree F$ at midnight.
Set Up Equation: Set up the equation. $\newline$ Let the temperature at noon be represented by $T$ . The temperature dropped by $30\,^\circ\text{F}$ to reach $-6.5\,^\circ\text{F}$ at midnight. So, the equation is: $\newline$ $T - 30\,^\circ\text{F} = -6.5\,^\circ\text{F}$
Solve for T: Solve for T. $\newline$ Add $30\degree F$ to both sides of the equation to find the temperature at noon ( $T$ ). $\newline$ $T - 30\degree F + 30\degree F = -6.5\degree F + 30\degree F$ $\newline$ $T = 23.5\degree F$
Check the Result: Check the result. $\newline$ If the temperature at noon was $23.5\degree\text{F}$ and it dropped by $30\degree\text{F}$ , then at midnight it would be: $\newline$ $23.5\degree\text{F} - 30\degree\text{F} = -6.5\degree\text{F}$ $\newline$ This matches the given information, so there is no math error.