PLEASE HELP In the middle of the afternoon, the temperature outside was °F. An hour later, the temperature had decreased by 12 °F. An hour after that, the temperature had decreased by another 4 °F. What increase in temperature is needed to return to the original temperature of °F? A 4 °F B 8 °F C 12 °F D 16 °

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UncleCeyth

Middle School

PLEASE HELP

In the middle of the afternoon, the temperature outside was 0 °F. An hour later, the temperature had decreased by 12 °F. An hour after that, the temperature had decreased by another 4 °F. What increase in temperature is needed to return to the original temperature of 0 °F?

A
4 °F

B
8 °F

C
12 °F

D
16 °

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DarcySea

Verified answer

Answer:
D. 16 °F
Step-by-step explanation:
Given:
The initial temperature of the outside is 0 °F.
Decrease in the temperature in the first hour = 12 °F
Therefore, temperature after 1 hour = 0 - 12 = -12 °F
Now, decrease in the temperature in the second hour = 4 °F
Therefore, temperature after 2 hours = -12 - 4 = -16 °F
Let 'x' °F be added to the final temperature in order to bring it to 0 °F.
Therefore,
$x+(-16)=0$
Adding 16 on both sides, we get:
$x-16+16=0+16\\x=16\ \°F$
Hence, we need to increase the temperature by 16 °F to attain the same initial temperature of 0 °F.
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