Question

1. mp modeling real life on a given day, the coldest surface temperature on the moon, -280°f, is 53.6°f colder than twice the coldest surface temperature on earth. what is the coldest surface temperature on earth that day? justify your answer.

Explanation:

Step1: Define variable

Let \( x \) be the coldest surface temperature on Earth (in \( ^\circ\text{F} \)).

Step2: Set up equation

Twice the Earth's coldest temperature is \( 2x \). The Moon's coldest temperature (\( -280^\circ\text{F} \)) is \( 53.6^\circ\text{F} \) colder than \( 2x \), so:
\( 2x - 53.6 = -280 \)

Step3: Solve for \( x \)

Add \( 53.6 \) to both sides:
\( 2x = -280 + 53.6 = -226.4 \)
Divide by \( 2 \):
\( x = \frac{-226.4}{2} = -113.2 \)

Answer:

The coldest surface temperature on Earth that day is \( -113.2^\circ\text{F} \).