# Functional Skills: Line Graphs

## Functional Skills: Line Graphs Revision

**Line Graphs**

**Line graphs** can be used to show the relationship between two groups of data.

**Understanding Line Graphs**

**Example:** The **line graph** to the right shows the relationship between litres and fluid ounces.

Change \textcolor{limegreen}{2.5} litres into fluid ounces.

**Step 1:** On the vertical axis, start from \textcolor{limegreen}{2.5} and move across until you hit the **line**.

**Step 2:** From here, move downwards until you hit the horizontal axis.

**Step 3:** Read off the value where you hit the horizontal axis. This is the answer.

So, \textcolor{limegreen}{2.5} litres =\textcolor{limegreen}{88} fluid ounces.

You can also change fluid ounces into litres, e.g. \textcolor{red}{24} fluid ounces = \textcolor{red}{0.7} litres.

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**Drawing Line Graphs**

To **draw a line graph**, you need to choose what the axes will represent, choose a scale for the axes and plot the points.

**Example:** Hollie’s height has been recorded over a 20 year period. The results are recorded in the table.

Display this data on a line graph.

The line graph will need to show the year and the height on separate axes.

Then, plot the points on the grid, e.g. for year 4 go up from 4 on the horizontal axis until you reach 100 on the vertical axis. Draw a cross or a dot here. Repeat this for all data.

Finally, join up the points with straight lines.

**Completing Line Graphs**

For Entry Level 3, you will be given an incomplete **line graph** and/or table and have to finish them off.

**Example:** Here is an incomplete line graph of the temperature of a mug of coffee over time, as well as the table of results it was plotted from.

Complete the **line graph**.

We need to plot a cross at 5 minutes and 70\degree C, and another cross at 10 minutes and 60 \degree C.

Then, join up all of the points with straight lines.

## Functional Skills: Line Graphs Example Questions

**Question 1:** The graph below can be used to change between kilometres and miles.

**a)** What is 8 kilometres in miles?

**b)** What is 4 miles in kilometres?

**[2 marks]**

On the vertical axis, 1 small square represents 0.4 kilometres.

On the horizontal axis, 1 small square represents 0.2 miles.

a) 8 kilometres = 5 miles

b) 4 miles = 6.4 kilometres

**Question 2:** The graph below can be used to change between litres and pints.

**a)** What is 7 pints equal to in litres?

**b)** What is 3 litres equal to in pints?

**[2 marks]**

On the vertical axis, 1 small square represents 0.2 litres.

On the horizontal axis, 1 small square represents 0.2 pints.

a) 7 pints =4 litres

b) 3 litres = 5.2 pints

**Question 3:** A technology company records the number of mobile phones they sell over 5 days in a week.

They record the results in the table below.

Draw a line graph for this data, making sure to clearly label your axes.

**[4 marks]**

Here, we will make 1 square represent 1 mobile phone sale on the vertical axis and days of the week separated by 4 squares on the horizontal axis.

We will also label the axes and give the chart a title, to describe what the chart is showing.

Your completed line graph may look something like this:

**Question 4:** A technology company records the number of mobile phones they sell over 5 days in a week.

They record the results in the table below.

They partially draw a line graph, seen below.

Complete the line graph.

**[3 marks]**

We need to plot a cross for Tuesday at 12, and for Thursday at 11.

We then need to join up the points with straight lines.