Question

Alex is tracking temperatures. Today the temperature was 0° Celsius, which is represented by the point (0, 0) . If the temperature yesterday was right in between today’s temperature and the temperature two days ago, what was the temperature yesterday?/

Answer 1

To solve this problem, we need to find a temperature for yesterday that is the average of today's temperature (0° Celsius) and the temperature from two days ago.

Let's denote:
- Today's temperature (0° Celsius) as \( T_{today} = 0 \).
- The temperature from two days ago as \( T_{two \, days \, ago} = T_{two} \).
- The temperature yesterday as \( T_{yesterday} = T_{yesterday} \).

According to the problem, the temperature yesterday is right in between today's temperature and the temperature from two days ago. Mathematically, this can be represented as:

\[
T_{yesterday} = \frac{T_{today} + T_{two}}{2}
\]

Substituting the value of \( T_{today} \):

\[
T_{yesterday} = \frac{0 + T_{two}}{2} = \frac{T_{two}}{2}
\]

This means that yesterday's temperature is half of the temperature from two days ago.

To determine the exact temperature for yesterday in numerical terms, we need to know the value of \( T_{two} \). Without additional information about the temperature from two days ago, we cannot calculate the numerical value of \( T_{yesterday} \).

However, we have established the relationship: the temperature yesterday is half of the temperature from two days ago.

If you have a value for the temperature from two days ago, you can substitute it into this equation to find yesterday's temperature. If you provide that temperature \( T_{two} \), I can help you calculate the exact value for \( T_{yesterday} \).