Q:The distance of planets in our solar system from the sun are given in the following table.
Planet
|
Distance (millions km)
|
Mercury
|
58
|
Venus
|
108
|
Earth
|
150
|
Mars
|
228
|
Jupiter
|
778
|
Saturn
|
1427
|
Uranus
|
2871
|
Neptune
|
4497
|
a. If you examine a number line plot the distance of the planets from the sun and a number line plotting the logarithm (base 10) of the distance of the planets from the sun, which number line is more helpful in comparing distances? Explain your answer.
b. If two distances are 3 units apart on the logarithmic number line, how do the distances of the corresponding planets compare?
Please show all mathematical steps you took to answer each question.