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You want an average of at least 30 active minutes each day during the week. How many active minutes do you need on Sunday to achieve your goal? Make an argument for your answer using a bar graph.

\begin{tabular}{|c|c|}
\hline
Day & Minutes Exercising \\
\hline
Monday & 15 \\
Tuesday & 45 \\
Wednesday & 20 \\
Thursday & 0 \\
Friday & 60 \\
Saturday & 30 \\
\hline
\end{tabular}

Answer :

Sure, let's solve this problem step-by-step.

Problem:
You want to achieve an average of at least 30 active minutes each day during the week. How many active minutes do you need on Sunday to achieve your goal?

Given Data:
You have active minutes for six days of the week:
- Monday: 15 minutes
- Tuesday: 45 minutes
- Wednesday: 20 minutes
- Thursday: 0 minutes
- Friday: 60 minutes
- Saturday: 30 minutes

Step-by-Step Solution:

1. Calculate the weekly goal:
You want to average at least 30 active minutes per day over 7 days. So, the total active minutes needed for the week is:
[tex]\[
30 \text{ minutes/day} \times 7 \text{ days} = 210 \text{ minutes}
\][/tex]

2. Sum the active minutes for the given six days:
[tex]\[
15 + 45 + 20 + 0 + 60 + 30 = 170 \text{ minutes}
\][/tex]

3. Calculate the minutes needed on Sunday:
To find out how many more minutes you need on Sunday to meet the goal of 210 minutes, subtract the total minutes so far from the weekly goal:
[tex]\[
210 \text{ minutes} - 170 \text{ minutes} = 40 \text{ minutes}
\][/tex]

So, you need 40 active minutes on Sunday to achieve your goal of averaging at least 30 active minutes per day during the week.

If you wanted to visualize this using a bar graph, you could plot each day's active minutes with a goal line at 30 minutes and show that the sum of the first six days' bars plus the 40 minutes needed on Sunday meets the total required 210 minutes.

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Rewritten by : Barada