Question

a satellite makes 4 revolutions of the earth in one day. how many revolutions would it make in (6\frac{1}{2}) days?
a 16 revolutions
b 26 revolutions
c (\frac{8}{13}) revolutions
d (\frac{11}{15}) revolutions

Explanation:

Step1: Convert mixed number to improper fraction

The number of days is \( 6\frac{1}{2} \), which converts to \( \frac{6\times2 + 1}{2}=\frac{13}{2} \) days.

Step2: Multiply revolutions per day by number of days

The satellite makes 4 revolutions per day. So, the total revolutions in \( \frac{13}{2} \) days is \( 4\times\frac{13}{2} \).
Simplify the multiplication: \( 4\times\frac{13}{2}=\frac{4\times13}{2}=2\times13 = 26 \).

Answer:

B. 26 revolutions