Deanna is a dog groomer. On Monday, she groomed 12 dogs in 8 hours. On Tuesday, she groomed 9 dogs in 6 hours. On Wednesday, she groomed 6 dogs in 6 hours. Which statements are true about Deanna’s workload? Check all that apply.

Question

The Wednesday ratio was equal to the Monday ratio.
The Monday ratio was equal to the Tuesday ratio.
The Tuesday ratio was greater than the Wednesday ratio.
The Wednesday ratio was less than the Monday ratio.
The Monday ratio was twice the Wednesday ratio.

Answer 1

To analyze Deanna's workload, we need to calculate the ratio of dogs groomed per hour for each day.

1. Monday:

   • Dogs groomed: 12
   • Hours worked: 8
   • Ratio = 12 dogs / 8 hours = 1.5 dogs per hour

2. Tuesday:

   • Dogs groomed: 9
   • Hours worked: 6
   • Ratio = 9 dogs / 6 hours = 1.5 dogs per hour

3. Wednesday:

   • Dogs groomed: 6
   • Hours worked: 6
   • Ratio = 6 dogs / 6 hours = 1 dog per hour

Now we can evaluate the statements:

1. The Wednesday ratio was equal to the Monday ratio.

   • False (Wednesday: 1 dog/hour, Monday: 1.5 dogs/hour)

2. The Monday ratio was equal to the Tuesday ratio.

   • True (Both Monday and Tuesday have a ratio of 1.5 dogs/hour)

3. The Tuesday ratio was greater than the Wednesday ratio.

   • True (Tuesday: 1.5 dogs/hour is greater than Wednesday: 1 dog/hour)

4. The Wednesday ratio was less than the Monday ratio.

   • True (Wednesday: 1 dog/hour is less than Monday: 1.5 dogs/hour)

5. The Monday ratio was twice the Wednesday ratio.

   • True (1.5 dogs/hour is indeed twice 1 dog/hour)

In summary, the true statements about Deanna’s workload are:

• The Monday ratio was equal to the Tuesday ratio.
• The Tuesday ratio was greater than the Wednesday ratio.
• The Wednesday ratio was less than the Monday ratio.
• The Monday ratio was twice the Wednesday ratio.