Question

find the distance (in million mi) that the earth travels in nine days in its path around the sun. assume that a year has 365 days and that the path of the earth around the sun is note: the path of the earth - around the sun is actually an ellipse with the sun at one focus, as shown in the figure. this ellipse, however, has very small eccentricity, so it is nearly to one decimal place.

Explanation:

Step1: Find the proportion of days

The proportion of 9 - day period to a year is $\frac{9}{365}$.

Step2: Assume the Earth's orbit length

The Earth's orbit around the Sun (circumference of the approximate - circle) is about 584 million miles in a year.

Step3: Calculate the 9 - day distance

Multiply the proportion by the annual distance: $\frac{9}{365}\times584$.
$d=\frac{9\times584}{365}=\frac{5256}{365}\approx14.4$ million miles.

Answer:

14.4