To find the unit rate of commercials per hour, follow these steps:
1. Determine the total watching time: Wendy watched television for [tex]\( 1 \frac{1}{2} \)[/tex] hours. This mixed number can be converted to an improper fraction or a decimal. Converting [tex]\( 1 \frac{1}{2} \)[/tex]:
[tex]\[
1 \frac{1}{2} = 1 + \frac{1}{2} = 1 + 0.5 = 1.5 \text{ hours}
\][/tex]
2. Account for the total number of commercials: There were 27 commercials during the shows.
3. Calculate the unit rate: To find the unit rate, which is the number of commercials per hour, you divide the total number of commercials by the total watching time in hours.
[tex]\[
\text{Unit rate} = \frac{\text{Total number of commercials}}{\text{Total watching time in hours}} = \frac{27}{1.5}
\][/tex]
4. Perform the division:
[tex]\[
\frac{27}{1.5} = 18
\][/tex]
Therefore, the unit rate of commercials per hour is [tex]\( 18 \)[/tex] commercials per hour.
Thus, the correct answer is:
[tex]\[ \boxed{18 \text{ commercials per hour}} \][/tex]
