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A coach shows the following ratio table to a team. The table shows the average amount of calories burned for a certain number of minutes of running.

\begin{tabular}{|c|c|}
\hline
\multicolumn{2}{|c|}{Practice} \\
\hline
\begin{tabular}{c}
Minutes of \\
running
\end{tabular} & Calories burned \\
\hline
4 & 20 \\
\hline
8 & 40 \\
\hline
[tex]$?$[/tex] & 100 \\
\hline
\end{tabular}

Based on the table, how many minutes does a person need to run to burn 100 calories?

A. 12
B. 20
C. 28
D. 68


Sagot :

To determine how many minutes a person needs to run to burn 100 calories based on the given table, we can follow these steps:

1. Understand the Ratio:
- The table indicates that 4 minutes of running burns 20 calories.
- The table also indicates that 8 minutes of running burns 40 calories.

2. Calculate Calories Burned Per Minute:
- First, find the number of calories burned per minute.
- Using the first row of the table: We know 4 minutes burns 20 calories, so the rate is [tex]\( \frac{20 \text{ calories}}{4 \text{ minutes}} \)[/tex].

[tex]\[ \text{Calories per minute} = \frac{20 \text{ calories}}{4 \text{ minutes}} = 5 \text{ calories per minute} \][/tex]

3. Use the Calculated Rate:
- We need to find the number of minutes required to burn 100 calories.
- Knowing the rate is 5 calories per minute, we can set up the equation to solve for the required minutes.

[tex]\[ \text{Required minutes} = \frac{\text{Target Calories}}{\text{Calories per minute}} \][/tex]

4. Plug in the Numbers:

[tex]\[ \text{Required minutes} = \frac{100 \text{ calories}}{5 \text{ calories per minute}} = 20 \text{ minutes} \][/tex]

Therefore, to burn 100 calories, a person needs to run for 20 minutes. The correct answer is 20.
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