Draw a graph to convert miles to kilometres, given 1 mile = 1.6 km. Use the graph to find :i. How many kilometres are approximately equal to 4.5 miles?ii. How many miles are approximately equal to 8 km?

To draw a graph to convert miles to kilometers, you would need to follow these steps:

1. Draw a horizontal line on a piece of paper or on a graphing software. This will be your x-axis, which will represent miles.

2. Draw a vertical line intersecting the horizontal line at the far left end. This will be your y-axis, which will represent kilometers.

3. Mark the x-axis in increments of 1, representing each mile.

4. Mark the y-axis in increments of 1.6, representing each kilometer.

5. Draw a line starting from the origin (0,0) that goes through each point where the x and y values are equal (since 1 mile = 1.6 km). This line will represent the conversion from miles to kilometers.

To answer the questions:

i. To find out how many kilometers are approximately equal to 4.5 miles, you would locate 4.5 on the x-axis (miles), then draw a line straight up to the conversion line. From that point, draw a line straight to the y-axis (kilometers). The point where this line intersects the y-axis is the equivalent distance in kilometers.

ii. To find out how many miles are approximately equal to 8 km, you would locate 8 on the y-axis (kilometers), then draw a line straight across to the conversion line. From that point, draw a line straight down to the x-axis (miles). The point where this line intersects the x-axis is the equivalent distance in miles.

Please note that this is a rough estimation. For more accurate results, you can use a calculator to multiply the number of miles by 1.6 to get the equivalent in kilometers, and divide the number of kilometers by 1.6 to get the equivalent in miles.