Complete the table by filling in the missing values using …

Mathematics Questions

Complete the table by filling in the missing values using the function ( e = 5t ). The climate of the Sierra is highly variable due to the presence of the Andes Mountains. Rodrigo and Rubén are biologists who need to measure daily climate variability based on time and temperature. [ begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} hline Tiempo (e) & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \ hline Temperatura (t) & 5 & & & & & & & & & \ hline end{tabular} ]

Short Answer

The function e = 5t shows that time is five times the temperature, leading to the formula t = e / 5 for calculating temperatures. By applying this formula to each time value from 1 to 10, the resulting temperatures range from 0.2 to 2.0, which can be summarized in a table.

Step-by-Step Solution

Step 1: Understand the Function

To solve for temperature (t), we start with the function e = 5t. This equation illustrates that time (e) is five times the temperature. To find t, we need to rearrange this equation, resulting in t = e / 5. This will be the formula we use for subsequent calculations.

Step 2: Calculate Temperatures

Now, we calculate the temperature for each time value provided in the table. To do this, we will divide each time value (e) by 5. Here are the calculations for each e:

  • For e = 1: t = 1 / 5 = 0.2
  • For e = 2: t = 2 / 5 = 0.4
  • For e = 3: t = 3 / 5 = 0.6
  • For e = 4: t = 4 / 5 = 0.8
  • For e = 5: t = 5 / 5 = 1.0
  • For e = 6: t = 6 / 5 = 1.2
  • For e = 7: t = 7 / 5 = 1.4
  • For e = 8: t = 8 / 5 = 1.6
  • For e = 9: t = 9 / 5 = 1.8
  • For e = 10: t = 10 / 5 = 2.0

Step 3: Fill the Table

With all the calculated temperature values, we can now complete the table. By aligning each time (e) with its corresponding temperature (t), we get the following:

  • Tiempo (e): 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
  • Temperatura (t): 0.2, 0.4, 0.6, 0.8, 1.0, 1.2, 1.4, 1.6, 1.8, 2.0

This table summarizes the relationship between time and temperature based on the function e = 5t.

Related Concepts

Function

A mathematical relationship expressed between variables, showing how one variable depends on another; in this case, it is represented by the equation e = 5t.

Temperature (T)

A measure of how hot or cold something is, represented in this context as a variable affected by the time value (e).

Time (E)

A variable representing the time value in the equation, with a direct linear relationship to temperature as indicated by the function e = 5t.

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