Conversions graph

Conversion Graphs

In conversion graphs, simply consider that the graphs are linear and also both the quantities are in direct proportion.

Read it as Every unit change in x coordinate value there is proportional change in y-coordinate value.

For example: Read the following conversion graph between miles and kilometers to approximately convert:

• 2 miles to kilometers

• 5 miles to kilometers

• 3 kilometers to miles

• 7 kilometers to miles

By using the given scale:

Scale: 5 small squares - 1 miles along x-axis 5 small squares = 1 kilometer along y-axis

Solution:

• For this concept first understand the scale of the given graph.

• On y-axis we have kilometers and on x-axis we have miles.

• Read the graph as same as plotting the points. Since the linear graph is provided.

• We can see that 1miles is approximately equals to 1.6 kilometers by this graph.

• So it is clear that $k=1.6m$

• Now put the given values of one variables in the above equations and find the values of missing variables.

• Or just read the graph, Which is easier, to find the other values.

  • 2 miles approx to 3.2km

  • 5 miles approx to 8 km

  • 3 kilometers approx to 1.8 miles

  • 7 kilometers approx to 4.2 miles

Example#02

For example: Read the following conversion graph between US dollars and Pakistani rupees to approximately convert:

• $2\$$ to Rs

• $5\$$ to Rs

• $900$Rs to $\$$

• $1800$Rs to $\$$

By using the given scale:

Scale: 5 small squares - 1 US($\$$) along x-axis 5 small squares = 300 Rs along y-axis

Solution:

• On y-axis we have Rs and on x-axis we have US $\$$.

• We can see that 1 US $\$$ is approximately equals to 300 Rs by this graph.

• So it is clear that $R=300D$

• Now put the given values of one variables in the above equations and find the values of missing variables.

• Or just read the graph, Which is easier, to find the other values.

  • $2\$$ approx to $600$Rs

  • $5\$$ approx to $1500$Rs

  • $900$Rs approx to $3\$$

  • $1800$Rs approx to $6\$$