b) The table given below shows the daily expenses of a family.

\begin{tabular}{|l|c|c|c|c|c|c|}
\hline
Day & Sunday & Monday & Tuesday & Wednesday & Thursday & Friday \\
\hline
Expense (in Rs) & 400 & 600 & 1300 & 1000 & 1200 & 300 \\
\hline
\end{tabular}

(i) Construct a line graph for the above data.

(ii) On which days were the expenses more than Rs 1,000?



Answer :

Certainly! Let's solve the problem step by step:

### (i) Construct a line graph for the above data

The first step is to plot a line graph using the given data.

1. Prepare the Data:
- The days of the week are: Sunday, Monday, Tuesday, Wednesday, Thursday, and Friday.
- The corresponding expenses are: 400, 600, 1300, 1000, 1200, and 300 Rs.

2. Plot the Data:
- On the horizontal axis (x-axis), we will mark the days of the week: Sunday, Monday, Tuesday, Wednesday, Thursday, and Friday.
- On the vertical axis (y-axis), we will mark the expense amounts. This can range from the minimum expense (300 Rs) to the maximum expense (1300 Rs). A good range for the y-axis could be from 0 to 1400 Rs for clarity.

3. Plot Points and Draw Lines:
- Mark the points corresponding to each day's expense.
- Draw lines connecting these points sequentially to form the line graph.

Here's a simple representation of the data points needed for the graph:

| Day | Expense (in Rs) |
|-----------|------------------|
| Sunday | 400 |
| Monday | 600 |
| Tuesday | 1300 |
| Wednesday | 1000 |
| Thursday | 1200 |
| Friday | 300 |

4. Label the Graph:
- Title: "Daily Expenses of a Family"
- X-axis: "Day"
- Y-axis: "Expense (in Rs)"

### (ii) Identify the days where expenses were more than Rs 1,000

Now, let's look at the given expense data and find out the days where the expenses exceed Rs 1,000:

- Sunday: 400 Rs
- Monday: 600 Rs
- Tuesday: 1300 Rs
- Wednesday: 1000 Rs
- Thursday: 1200 Rs
- Friday: 300 Rs

We compare each day's expense with 1000 Rs:

- Tuesday: 1300 Rs > 1000 Rs
- Thursday: 1200 Rs > 1000 Rs

So, the days where expenses were more than Rs 1,000 are:

- Tuesday
- Thursday

### Summary

1. To construct a line graph, plot the expenses against the days of the week and connect the points with lines.
2. The days with expenses more than Rs 1,000 are Tuesday and Thursday.

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