On Saturday morning, Wendy watched [tex]$1 \frac{1}{2}$[/tex] hours of her favorite shows on television. During the shows, there were 15 commercials. What is the unit rate of commercials per hour?

A. 5 hours per commercial
B. 10 commercials per hour
C. 15 commercials per hour
D. 20 commercials per hour



Answer :

To determine the unit rate of commercials per hour, follow these steps:

1. Determine the total number of hours Wendy watched TV:
Wendy watched [tex]\(1 \frac{1}{2}\)[/tex] hours of TV. This is a mixed number which can be converted into an improper fraction or a decimal. In decimal form, [tex]\(1 \frac{1}{2} = 1 + 0.5 = 1.5\)[/tex] hours.

2. Identify the total number of commercials:
Wendy watched 15 commercials during this time.

3. Calculate the unit rate of commercials per hour:
To find the unit rate of commercials per hour, divide the total number of commercials by the total number of hours:
[tex]\[ \text{Commercials per hour} = \frac{\text{Total commercials}}{\text{Total hours watched}} \][/tex]
Substitute the given values:
[tex]\[ \text{Commercials per hour} = \frac{15 \text{ commercials}}{1.5 \text{ hours}} \][/tex]

4. Perform the division:
[tex]\[ \frac{15}{1.5} = 10 \][/tex]

Thus, the unit rate is:

[tex]\[ \boxed{10 \text{ commercials per hour}} \][/tex]

Therefore, the correct answer is:
[tex]\[ 10 \text{ commercials per hour} \][/tex]